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2022-02-08
On iterates of $q$-analouge Bernstein operator via fixed points
Pallab Maiti and Asrifa Sultana
In this article, we derive the convergence of successive iterations for certain nonlinear operators on complete normed linear space. As a consequence of our result we investigate the convergence of iterates for the Lupa\c{s} $q$-analouge Bernstein operators on $C[0,1]$. Our theorem indeed generalize the Kelisky-Rivlin result about the convergence of iterates for the Bernstein operator. The convergence of successive iterations for certain uniformly local nonlinear operator is also derived.
2021-07-25
A note on some integral inequalities for (h,m)-convex functions in a generalized framework
Juan E. Napoles Valdes
In this paper using a general definition of convexity, the (h,m)-convex functions, we present some new integral inequalities, using a generalized integral operator.
2021-05-03
On Sequence Spaces and Some Matrix Transformations
Rabia Savas
The goal of this paper is to characterize the matrix transformations and is related to the concept of invariant mean and the lacunary sequence.
2021-05-03
Study of Exact Real Fixed Point Problems Using Theory of Variational Inequalities
P. K. Das
The main goal of this paper is to develop the theory of finding n real fixed points of a real polynomial function of degree n using the theory of variational inequalities. The fixed points equations are also reduced to Legendre polynomial equations. Numerical algorithm for finding the fixed points using the theory of variational inequalities is discussed with relaxed step. To support the theorems of the paper, a pair of examples is illustrated. The theory of fixed points for higher degree polynomials is discussed using Frobenius companion matrix.
2021-05-03
Degree of Approximation of Functions by Hausdorff Mean of Their Fourier Series in the Holder Metric
Sangram Kesari Ray, G. Das and B.K.Ray
The main purpose of the present paper is to study the degree of approximation of functions by Housdorff means of their Fourier series generalizing some known results in the literature.
2021-05-03
Impact of stress jump condition and heterogeneous reaction on velocity, temperature and concentration during bio-fluid flow through a permeable microvessel
Godfrey Bashaga and Sachin Shaw
Understanding how fluid flow in human bodies is crucial in Biomedical Engineering. Studying blood rheology is crucial as it may help in detecting , if not designing a treatment for some blood related diseaseses or understanding them better . The aim of this paper is to study the heterogeneous reaction of blood flow velocity, temperature and diffusion through microvessel with the stress-jump condition at the interface of the clear and peripheral region and velocity slip condition at the wall of microvessel .
2021-05-03
On the Absolute Hausdorff Summability of Fourier Series and Series Conjugate to Fourier Series
Sangram Kesari Ray, G. Das and B.K.Ray
We study the absolute Hausdorff summability problem of Fourier’s series and its conjugate series generalizing some known results in the literature.
2020-02-15
Multi-Objective Chance-Constrained Programming Problems Involving Some Continuous Random Parameters
D. K. Mohanty, M. P. Biswal, S. Nanda
In real-life applications there are some situations where the Decision Maker (DM) wishes to optimize multiple, and conflicting objective functions. This is known as Multi-Objective Programming (MOP) Problem. Stochastic programming is a branch of mathematical programming that deals with some situations in which an optimal decision is desired under some random parameters.
2020-02-15
Variational Inequality and Complimentary Problem
Sudarsan Nanda
Variational inequality and Complementarity have much in common, but there has been little direct contact between the researchers of these two related fields of mathematical sciences. Several problems arising from Fluid Mechanics, Solid Mechanics, Structural Engineering, Mathematical Physics, Geometry, Mathematical Programming etc. have the formulation of a Variational Inequality or Complementarity Problem.
2020-02-15
Upper Bounds for the Spectral Radius of Block Hadamard Product of Block H-matrices
Saliha Pehlivan
In this paper, we discuss some upper bounds for the spectral radius of block Hadamard product of block H-matrices. By using norm structure of block matrices, we establish estimations for the spectral radius.
2020-02-15
Some Results for Error Function with Complex Argument
Hüseyin Irmak and Meryem Duran
In this basic research, the well-known error functions with the complex variable and some of their properties are first introduced, then some interesting results concerning error functions are presented. Finally, several conclusions and recommendations for the applications of error functions with complex argument are pointed out..
2020-02-15
On Exponentially Convex Functions
Muhammad Aslam Noor and Khalida Inayat Noor
In this paper, we define and introduce some new concepts of the exponentially convex functions. We investigate several properties of the exponentially convex functions and discuss their relations with convex functions. Optimality conditions are characterized by a class of variational inequalities. Several interesting results characterizing the exponentially convex functions are obtained. Results obtained in this paper can be viewed as significant improvement of previously known results
2020-02-15
New Higher Order Fractional Programming for Sufficient Optimality Conditions Based on Hybrid
Ram N. Mohapatra and Ram U. Verma
This research first deals with a new comprehensive second order generalization to exponential type invexities, which encompasses most of the existing generalized sonvexity concepts (including [25] and [41]) in the literature, and then a wide range of parametric sufficient optimality conditions leading to the solvability for multiobjective fractional programming problems are established. These results are new and application-oriented to other fields of mathematical programming.
2018-12-24
g-Frames in Hilbert Spaces
Saliha Pehlivan
In this paper, we give recent results on properties and characterizations of generalized frames, called g-frames, in Hilbert spaces. We mention generalized dual frames/dual gframes and we state some characterization of dual g-frames that fits best for systems having erasures.
2018-12-24
Higher - Order Parameter-Free Optimality Models for Discrete Fractional Programming
Ram U. Verma
In this communication, we deal with establishing several sets of generalized parameterfree sufficient optimality conditions for a discrete minmax fractional programming problem using two partitioning schemes and various second-order (F;b;f;p;w;r;q;m) - univexities. The obtained optimality results are application-oriented to other problems in mathematical programming in the interdisciplinary nature.
2018-12-24
A Stochastic Disease Models for Zika -Exploring the Probability of Pathogen Persistence
Donald D. Porchia
A stochastic epidemic model for the transmission dynamics of Zika is formulated as a continuous-time Markov chain. The stochastic model is derived from a deterministic compartmental disease model based on a coupled system of ordinary differential equations. The disease dynamics of the deterministic and stochastic disease models are compared in order to determine the effect of stochasticity on the transmission dynamics. The probability of disease extinction as well as that of a epidemic are numerically simulated from the stochastic model and compared to a multi-type Bienamye-Galton-Watson branching process approximation. Analytical and numerical results show significant differences between the stochastic and deterministic model predictions.
2018-12-24
Impact of stress jump on two phase peristaltic transport - A physiological aspect
S. Shaw and P. Sibanda
In this investigation we considered to extend the work of Misra and Pandey [1] by tak- ing the permeability nature of the peripheral region and introduce a stress-jump condition at the interface of core and peripheral region present a mathematical model for the peristaltic transport in small vessels. The blood is treated as a two-phase fluid with a core region that is described by the Casson model and a porous peripheral layer that is described by the Brinkman extended Darcy model. The study shows, that a high blood flow rate introduces a trapping region in the peripheral layer while reflux occurs in the core region for increasing porosity and stress-jump constant, and a better pumping performance is obtained by reduc- ing the Darcy number. The trapped region area increased with the stress-jump constant and the effective viscosity. However the reverse phenomena was observed for the Darcy number and porosity. The effective viscosity increases size of the trapping region. Moreover, it was observed that the Darcy number and the stress jump constant strongly affect the velocity profile more than the porosity and the yield stress. The pumping performance decreased with increases in Darcy number.
2018-12-24
Modeling of Boundary Layer Two-Phase Flow and Heat Transfer over a Stretching Sheet due to Effects of Radiation, Heat Generation/Absorption and Electrification of Particles
Aswin Kumar Rauta
In this paper, the effect of heat generation/absorption, radiation and electrification of parti- cles on both phases of unsteady two phase flow over a stretching sheet has been investigated. The governing partial differential equations of the flow field are reduced into first order or- dinary differential equations using similarity transformations and the solution is found by Runge-Kutta method with shooting technique. Comparison of the obtained results is made with existing literature and graphical study is performed to explain the inter relationship be- tween parameters and velocity field, parameters and heat transfer characteristics. The rate of heat transfer at the surface and skin friction increases with increasing values of electri- fication parameter M. The temperature profile of both phases increase with the increase of radiation parameter Ra. Thus the radiation should be at minimum in order to facilitate the cooling process.
2018-12-24
Degree of Approximation of Conjugate Fourier Series of Functions in the Besov space by Matrix Mean
Madhusmita Mohanty, Gokulananda Das and Sanghamitra Beuria
he paper studies the degree of approximation of functions by their Fourier series in the Besov space by matrix mean and this generalizing many known results.
2018-12-24
Defining Trigonometric Box Spline On Type-I Triangulation
Hrushikesh Jena and Mahendra Kumar Jena
In this paper, trigonometric box spline surface is defined using a subdivision scheme. The subdivision scheme is derived using the non-stationary subdivision scheme that has been defined in (Jena et. al., A non-stationary subdivision scheme for generalizing trigonometric spline surfaces to arbitrary meshes, Computer Aided Geom. Design, 20, (2003), 61-77). A convergence analysis is also given.
2018-12-24
Fuzzy Topological, Algebraic and Geometrical Concepts
Sudarsan Nanda
This paper is a brief survey on fuzzy topological, algebraic and geometrical concepts
2017-01-18
Optimal Range for a General Interval Optimization Problem
Ajay Kumar Bhurjee and Geetanjali Panda
paper we obtain the sharp subordination- and superordination-preserving properties of some convex combinations as sociated with a linear operator in the open unit disk. The sandwich-type theorem on the space of normalized analytic functions for these operators is also given, together with a few interesting special cases obtained for an appropriate choices of the parameters and the corresponding functions.
2017-01-18
Stochastic Programming Problems Involving Some Continuous Random Variables
D. K. Mohanty and M. P. Biswal
paper we obtain the sharp subordination- and superordination-preserving properties of some convex combinations as sociated with a linear operator in the open unit disk. The sandwich-type theorem on the space of normalized analytic functions for these operators is also given, together with a few interesting special cases obtained for an appropriate choices of the parameters and the corresponding functions.
2017-01-18
A Study of Equilibrium Problems and Variational Inequality Problems on Hadamard Manifold
S. Jana and C. Nahak
paper we obtain the sharp subordination- and superordination-preserving properties of some convex combinations as sociated with a linear operator in the open unit disk. The sandwich-type theorem on the space of normalized analytic functions for these operators is also given, together with a few interesting special cases obtained for an appropriate choices of the parameters and the corresponding functions.
2017-01-18
Some Results on Self-Centeredness and Minimal Self-Centeredness of Power and Product of Graphs
Priyanka Singh and Pratima Panigrahi
paper we obtain the sharp subordination- and superordination-preserving properties of some convex combinations as sociated with a linear operator in the open unit disk. The sandwich-type theorem on the space of normalized analytic functions for these operators is also given, together with a few interesting special cases obtained for an appropriate choices of the parameters and the corresponding functions.
2017-01-18
Degree of Approximation of Fourier Series of Functions in Besov Space
G.Das _, Harachand Mohanty, R.N.Mohapatra, and B.K.Ray
paper we obtain the sharp subordination- and superordination-preserving properties of some convex combinations as sociated with a linear operator in the open unit disk. The sandwich-type theorem on the space of normalized analytic functions for these operators is also given, together with a few interesting special cases obtained for an appropriate choices of the parameters and the corresponding functions.
2017-01-18
Next Generation Newton-Type Computational Methods with Cubic Convergence Rates
Ram U. Verma
paper we obtain the sharp subordination- and superordination-preserving properties of some convex combinations as sociated with a linear operator in the open unit disk. The sandwich-type theorem on the space of normalized analytic functions for these operators is also given, together with a few interesting special cases obtained for an appropriate choices of the parameters and the corresponding functions.
2017-01-18
New Classes of Invariant Harmonic Convex Functions and Inequalities
Muhammad Aslam Noor, Khalida Inayat Noor, and Sabah Iftikhar
paper we obtain the sharp subordination- and superordination-preserving properties of some convex combinations as sociated with a linear operator in the open unit disk. The sandwich-type theorem on the space of normalized analytic functions for these operators is also given, together with a few interesting special cases obtained for an appropriate choices of the parameters and the corresponding functions.
2017-01-18
Some Inequalities in Inner Product Spaces Related to Buzano's and Gruss' Results
S. S. Dragomir
paper we obtain the sharp subordination- and superordination-preserving properties of some convex combinations as sociated with a linear operator in the open unit disk. The sandwich-type theorem on the space of normalized analytic functions for these operators is also given, together with a few interesting special cases obtained for an appropriate choices of the parameters and the corresponding functions.
2017-01-18
Sandwich Results for p–Valent Functions Involving a Linear Operator
Rabha M. El-Ashwah and Teodor Bulboaca
Making use of the principle of subordination, in the present paper we obtain the sharp subordination- and superordination-preserving properties of some convex combinations as sociated with a linear operator in the open unit disk. The sandwich-type theorem on the space of normalized analytic functions for these operators is also given, together with a few interesting special cases obtained for an appropriate choices of the parameters and the corresponding functions.
2016-01-18
Generalized Convexity in Mathematical Programming
S. Nanda and N. Behera
The fractal interpolation functions provide curves whose graph has generally a non-integer dimension. They own other characteristics as the interpolation of a set of data and the continuity. In this paper, the latter conditions are omitted, de?ning discontinuous fractal functions passing close to (but not necessarily through) the given data. In a second part of the article we de?ne a?ne fractal functions not linked to two dimensional data. To do this we use the methodology of iterated functions systems. They are composed of a ?nite set of contractive a?nities whose attractor is related to the graph of a bounded function. In this way the paper introduces a very large class of a?ne fractal functions which are generally discontinuous (though they contain the classical continuous case as a particular case) and whose relevance is not based only on the approximation.
2016-01-18
Fixed Points for Contractive Mappings on a Metric Space with a Graph: A Survey
Asrifa Sultana and V.Vetrivel
The fractal interpolation functions provide curves whose graph has generally a non-integer dimension. They own other characteristics as the interpolation of a set of data and the continuity. In this paper, the latter conditions are omitted, de?ning discontinuous fractal functions passing close to (but not necessarily through) the given data. In a second part of the article we de?ne a?ne fractal functions not linked to two dimensional data. To do this we use the methodology of iterated functions systems. They are composed of a ?nite set of contractive a?nities whose attractor is related to the graph of a bounded function. In this way the paper introduces a very large class of a?ne fractal functions which are generally discontinuous (though they contain the classical continuous case as a particular case) and whose relevance is not based only on the approximation.
2016-01-18
Some Geometric Studies on the Classes of Bi-Univalent Functions
Pravati Sahoo, R. N. Mohapatra
The fractal interpolation functions provide curves whose graph has generally a non-integer dimension. They own other characteristics as the interpolation of a set of data and the continuity. In this paper, the latter conditions are omitted, de?ning discontinuous fractal functions passing close to (but not necessarily through) the given data. In a second part of the article we de?ne a?ne fractal functions not linked to two dimensional data. To do this we use the methodology of iterated functions systems. They are composed of a ?nite set of contractive a?nities whose attractor is related to the graph of a bounded function. In this way the paper introduces a very large class of a?ne fractal functions which are generally discontinuous (though they contain the classical continuous case as a particular case) and whose relevance is not based only on the approximation.
2016-01-18
Solution of Reaction Diffusion Problem using Homotopy Perturbation Method and Differential Transformation Method: A Comparative Study
Nini Maharana, A. K. Nayak, H. B. Pattnaik, and S. Srivastav
The fractal interpolation functions provide curves whose graph has generally a non-integer dimension. They own other characteristics as the interpolation of a set of data and the continuity. In this paper, the latter conditions are omitted, de?ning discontinuous fractal functions passing close to (but not necessarily through) the given data. In a second part of the article we de?ne a?ne fractal functions not linked to two dimensional data. To do this we use the methodology of iterated functions systems. They are composed of a ?nite set of contractive a?nities whose attractor is related to the graph of a bounded function. In this way the paper introduces a very large class of a?ne fractal functions which are generally discontinuous (though they contain the classical continuous case as a particular case) and whose relevance is not based only on the approximation.
2016-01-18
Applications of Exponential Convexity
Asfand Fahad, Josip Pecaric and Julije Jaksetic
The fractal interpolation functions provide curves whose graph has generally a non-integer dimension. They own other characteristics as the interpolation of a set of data and the continuity. In this paper, the latter conditions are omitted, de?ning discontinuous fractal functions passing close to (but not necessarily through) the given data. In a second part of the article we de?ne a?ne fractal functions not linked to two dimensional data. To do this we use the methodology of iterated functions systems. They are composed of a ?nite set of contractive a?nities whose attractor is related to the graph of a bounded function. In this way the paper introduces a very large class of a?ne fractal functions which are generally discontinuous (though they contain the classical continuous case as a particular case) and whose relevance is not based only on the approximation.
2016-01-18
Popoviciu Type Inequalitie Via Green Function and Hermite's Polynomial
Saad Ihsan Butt, Ram N. Mohapatra, Josip Pecaric
The fractal interpolation functions provide curves whose graph has generally a non-integer dimension. They own other characteristics as the interpolation of a set of data and the continuity. In this paper, the latter conditions are omitted, de?ning discontinuous fractal functions passing close to (but not necessarily through) the given data. In a second part of the article we de?ne a?ne fractal functions not linked to two dimensional data. To do this we use the methodology of iterated functions systems. They are composed of a ?nite set of contractive a?nities whose attractor is related to the graph of a bounded function. In this way the paper introduces a very large class of a?ne fractal functions which are generally discontinuous (though they contain the classical continuous case as a particular case) and whose relevance is not based only on the approximation.
2016-01-18
Discontinuous Fractal Interpolation
M.A. Navascues
The fractal interpolation functions provide curves whose graph has generally a non-integer dimension. They own other characteristics as the interpolation of a set of data and the continuity. In this paper, the latter conditions are omitted, de?ning discontinuous fractal functions passing close to (but not necessarily through) the given data. In a second part of the article we de?ne a?ne fractal functions not linked to two dimensional data. To do this we use the methodology of iterated functions systems. They are composed of a ?nite set of contractive a?nities whose attractor is related to the graph of a bounded function. In this way the paper introduces a very large class of a?ne fractal functions which are generally discontinuous (though they contain the classical continuous case as a particular case) and whose relevance is not based only on the approximation.
2015-01-18
Matrix Transformations in Sequence Spaces
S. Nanda and Smruti Mohanty
This paper discusses the criteria of convexity of spherical Bernstein-Be zier patches, circular Bernstein-Be zier curves, and homogeneous Bernstein-Be zier polynomials.
2015-01-18
Generalization of Popoviciu Type Inequalities Via AbelGontscharo Interpolating Polynomial
Saad Ihsan Butt and Josip Pecaric
This paper discusses the criteria of convexity of spherical Bernstein-Be zier patches, circular Bernstein-Be zier curves, and homogeneous Bernstein-Be zier polynomials.
2015-01-18
Imbedding Theorems and Domains
Alois Kufner & Jana Stara
This paper discusses the criteria of convexity of spherical Bernstein-Be zier patches, circular Bernstein-Be zier curves, and homogeneous Bernstein-Be zier polynomials.
2015-01-18
Role of Higher Order Invexity in Parametric Optimality Conditions for Discrete Minmax Fractional Programming
Ram U. Verma
This paper discusses the criteria of convexity of spherical Bernstein-Be zier patches, circular Bernstein-Be zier curves, and homogeneous Bernstein-Be zier polynomials.
2015-01-18
Convexity of Spherical Bernstein-B_ezier Patches and Circular BernsteinBezier Curves
T. X. He and Ram Mohapatro
This paper discusses the criteria of convexity of spherical Bernstein-Be zier patches, circular Bernstein-Be zier curves, and homogeneous Bernstein-Be zier polynomials.
2014-02-08
RANDOM TRIGONOMETRIC INTERPOLATION
Jagabandhu Sahoo
Abstract We show that the random trigonometric interpolation polynomial associated with the stochastic process of independent increment having the semi-table distribution converges in the mean to the stochastic integral.
2014-02-08
DIFFUSION-THERMO EFFECT ON FREE CONVECTIVE FLOW OF VISCO-ELASTIC FLUID IN A VERTICAL CHANNEL
Rabi Narayan Barik
Abstract :An analysis is made to study the e?ect of fully developed free convection and mass transfer on the ?ow of visco-elastic ?uid in a vertical channel formed by two vertical parallel plates under the in?uence of asymmetric wall temperature and concentration. The di?usion-thermo e?ect renders the present analysis interesting and curious. The Laplace transform technique has been applied to solve equations governing the ?ow phenomenon. The result of present study has been compared with the previous ?ndings reported without elasticity, mass transfer and di?usion thermo e?ect. The validity of our result is assured on the fact that our result is good agreement with the previous authors. The study also revealed that the steady state of the problem is independent of the Dufour e?ect.
2014-02-08
Application of fuzzy weighted product method to agricultural allocation problem
A.Baral and S. Behera
Abstract In this paper we have explained some concepts of fuzzy set and applied one fuzzy model on agricultural farm for optimal allocation of di?erent crops by considering maximization of net bene?t,Maximization production and Maximization utilization of labour . Crisp values of the objective functions obtained from selected non-dominated solutions are converted into triangular fuzzy numbers and ranking of those fuzzy numbers are done to make a decision.
2014-02-08
Trigonometric approximation of the conjugate series of a function of generalized Lipchitz class by product summability
B.P.Padhy, P.K.Palo, P.Samanta, M.Misra and U.K.Misra
Abstract Trigonometric Fourier approximation and Lipchitz class of function had been introduced by Zygmund and McFadden respectively. Dealing with degree of approximation of conjugate series of a Fourier series of a function of Lipchitz class Misra et al. have established certain theorems. Extending their results, in this paper a theorem on trigonometric approximation of conjugate series of Fourier series of a function f ? Lip(?(t),r) by product summability (E,S)(N,pn,qn)
2014-02-08
AN EOQ INVENTORY MODEL FOR DETERIORATING ITEMS WITH QUADRATIC DEMAND AND PARTIAL BACKLOGGING
Trailokyanath Singh and Hadibandhu Pattanayak
Abstract In this paper, an economic order quantity (EOQ) model for deteriorating items with quadratic demand rate and partial backlogging is considered. Shortages are allowed. The deterioration rate is assumed to be constant and the demand rate is the quadratic function of time. The backlogging rate is variable and dependent on the waiting time for the next replenishment. The purpose of the study is to ?nd the optimal policy for minimizing the total inventory cost. The results are illustrated by a numerical example. Sensitivity analysis of various parameters is carried out. Justi?cation for considering time quadratic demand is discussed.
2014-02-08
DOMINATED ASSIGNMENT SIMULATION TECHNIQUE
Prasanta Kumar Das and Susanta Kumar Das
Abstract: The aim of this paper is to introduce a new methodology, called the dominated assignment simulation (or selection) technique (DAS-technique) to solve the linear assignment problems. We introduce the new concepts such as, (2×2)-decision matrix, Minimin simulation criterion and Maximax simulation criterion, dominated column. Here the concept of (2×2)-decision matrix is introduced to ?nd the ?nal two assignments from the cost matrix which are important to this method. The minimized linear assignment problems (loss matrix) and the maximized linear assignment problems (pro?t matrix) are solved using Minimin simulation criterion and Maximax simulation criterion respectively in the presence of (2×2)-decision matrix. The dominated (dominating) column concept is used to break the tie cases arises in minimized (maximized) assignment problem. In this technique, the n×n linear assignment problem is solved in n steps. We reduce the order of assignment problem by removing the corresponding rows and columns of the obvious assignments from the cost matrix.
2014-02-08
Application of mixed Quadrature rules using anti-Gaussian Quadrature rule in Adaptive quadrature
Bibhu Prasad Singh and Rajani Ballav Dash
Abstract A model is set up which embodies the basic features of Adaptive quadrature routines involving mixed rules. Not before mixed quadrature rules basing on anti-Gaussian quadrature rule have been used for ?xing termination criterion in Adaptive quadrature routines. Two mixed quadrature rules of higher precision for approximate evaluation of real de?nite integrals have been constructed using an anti-Gaussian rule for this purpose. The ?rst is the linear combination of anti-Gaussian three point rule and Simpsons 1/3rd rule , the second is the linear combination of anti-Gaussian three point rule and Simpsons 3/8th rule. The analytical convergence of the rules have been studied. The error bounds have been determined asymptotically. Adaptive quadrature routines being recursive by nature, a termination criterion is formed taking in to account two mixed quadrature rules. The algorithm presented in this paper has been “C” programmed and successfully tested on di?erent integrals. The e?ciency of the process is re?ected in the table at the end.
2014-02-08
NUMERICAL APPROXIMATION OF TWO DIMENSIONAL INTEGRAL OF AN ANALYTIC FUNCTION
P.M.Mohanty and M. Acharya
Abstract A seventh degree rule involving a set of twenty nodes has been constructed for the numerical approximation of an integral of analytic function of two complex variables. The truncation error associated with the approximation has been analysed and estimate of the error has been obtained.
2014-02-08
Unsteady MHD Free Convection Flow of a Heat Radiating Fluid past a Flat Plate With Rampedness in Wall Temperature and Species Concentration
Mrutyunjay Das, R. Nandkeolyar, H.B. Pattnayak and Md. S. Ansari
Abstract The problem of unsteady free convection ?ow and mass transfer of a viscous, incompressible, electrically conducting and heat radiating ?uid under the in?uence of a uniform transverse magnetic ?eld is studied. Fluid ?ow is induced due to a general time dependent motion of the in?nite vertical ?at plate which is having a temporarily ramped temperature pro?le. The species concentration is also assumed to have temporary rampedness. The exact solution of the governing equations are obtained analytically using Laplace 28 Unsteady MHD Free Convection Flow of a Heat Radiating Fluid past a Flat... 29 transform technique. To highlight the e?ects of rampedness in wall temperature and species concentration, exact solution is also obtained, considering the wall temperature and species concentration as constant. Some important applications of practical interest are discussed for di?erent types of motion of the plate . The numerical values of species concentration, temperature and velocity of the ?uid are displayed graphically for various values of pertinent ?ow parameters whereas the e?ects of di?erent ?ow parameters on the rate of mass transfer at the plate, rate of heat transfer and the skin friction are presented in tabular form.
2014-02-08
Second order nondifferentiable multiobjective symmetric dual programs over cone with generalized (K,F)-(?,?) convexity
Arun Kumar Tripathy
Abstract In this paper, a new class of second order (K,F)?(?,?) pseudo convex functions is introduced with example. A pair of Wolfe type second order nondi?erentiable symmetric dual programs over arbitrary cones with square root term is formulated. The duality results are established under second order (K,F)?(?,?) pseudo convexity assumption.
2014-02-08
A GENERALISATION OF THE CONCEPT OF BANACH LIMITS
G.Das, Ajaya Kumar Singh
Abstract The object of the present paper is to generalise the concept of Banach limit by using weights to the sequence.