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.

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.

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.

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.

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.

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.

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.

This paper is a brief survey on fuzzy topological, algebraic and geometrical concepts

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.

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.

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.

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.

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.

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.

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.

This paper discusses the criteria of convexity of spherical Bernstein-Be zier patches, circular Bernstein-Be zier curves, and homogeneous Bernstein-Be zier polynomials.

This paper discusses the criteria of convexity of spherical Bernstein-Be zier patches, circular Bernstein-Be zier curves, and homogeneous Bernstein-Be zier polynomials.

This paper discusses the criteria of convexity of spherical Bernstein-Be zier patches, circular Bernstein-Be zier curves, and homogeneous Bernstein-Be zier polynomials.

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.

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.

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.

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)

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.

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.

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.

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.

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.

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.

Abstract The object of the present paper is to generalise the concept of Banach limit by using weights to the sequence.