SANDWICH TYPE RESULTS FOR m-CONVEX REAL FUNCTIONS

被引：0

作者：

Lara, Teodoro ^{[1
]}

Rosales, Edgar ^{[1
]}

机构：

[1] Univ Los Andes, Nucl Rafael Rangel, Dept Fis & Matemat, Trujillo, Venezuela

来源：

ANNALES MATHEMATICAE SILESIANAE | 2021年 / 35卷 / 02期

关键词：

m-convex function; m-affine function; Jensen type inequality; sandwich theorem;

D O I：

10.2478/amsil-2021-0006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish necessary and sufficient conditions allowing separation of pair of real functions by an m-convex and by an m-affine function. Some examples and a geometric interpretation of m-convexity of a function is exhibited, as well as a Jensen's inequality for this kind of function.

引用

页码：250 / 259

页数：10

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