(h−s)-凸函数的若干性质

Some Properties of (h−s)-Convex Functions

摘要: 凸函数是一类具有良好性质和广泛应用的重要函数，(h−s)-凸函数是h-凸函数与s-凸函数的推广。本文讨论了(h−s)-凸函数的一些基本性质，并利用函数的单调性、上积函数和函数列的收敛性等，证明得到了(h−s)-凸函数的若干性质定理。

Abstract: Convex function is a kind of important function with good properties and wide application. The (h−s)-convex function is the generization of h-convex functions and s-convex functions. In this paper, some basic properties of (h−s)-convex functions are discussed, and some property theo-rems of (h−s)-convex functions are given by using monotonicity of function, supermultiplicative functions and convergence of function sequence, etc.