We study some classes of generalized a¢ ne functions, using a generalized di¤erential. We study some properties and characterizations of these classes and we devise some characterizations of solution sets of optimization problems involving such functions or functions of related classes. Key words: colinvex, colin…ne, generalized di¤erential, optimization problem, protoconvex function, pseudocon...

An interesting question about quasiconvexity in a hyperbolic group concerns finding classes of quasiconvex subsets that are closed under finite intersections. A known example is the class of all quasiconvex subgroups [1]. However, not much is yet learned about the structure of arbitrary quasiconvex subsets. In this work we study the properties of products of quasiconvex subgroups; we show that ...

This article studies the equations of adiabatic thermoelasticity endowed with an internal energy satisfying appropriate quasiconvexity assumption which is associated to symmetrisability condition for system. A Gårding-type inequality these quasiconvex functions proved and used establish a weak-strong uniqueness result class dissipative measure-valued solutions.

In this paper, we develop an optimization-based approach to multivariate Chebyshev approximation on a finite grid. We consider two models: polynomial and generalized rational approximation. the second case, approximations are ratios of linear forms basis functions not limited monomials. It is already known that in case grid corresponding optimization problems can be reduced solving programming ...

Abstract: The aim of this paper is to introduce and study a new class [ ] * C A,B, δ α of Janowski QuasiConvex univalent functions of order alpha associated with Ruscheweyh derivative. Sharp coefficient bound, distortion result and some inclusion results are discussed. Invariance of [ ] * C A,B, δ α under convolution with convex functions has also been examined and some of its applications are ...