ON SOME HERMITE-HADAMARD-FEJER INEQUALITIES FOR (k, h)-CONVEX FUNCTIONS

被引：20

作者：

Micherda, Bartosz ^{[1
]}

Rajba, Teresa ^{[1
]}

机构：

[1] Univ Bielsko Biala, Dept Math & Comp Sci, PL-43309 Bielsko Biala, Poland

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2012年 / 15卷 / 04期

关键词：

Generalized convexity; Hermite-Hadamard's inequality; Fejer's inequality; CONVEX-FUNCTIONS;

D O I：

10.7153/mia-15-79

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the class of (k, h)-convex functions defined on k -convex domains, and we prove some new inequalities of Hermite-Hadamard and Fejer type for such mappings. This generalizes results given for h-convex functions in [1, 17], and for s-Orlicz convex mappings in [4].

引用

页码：931 / 940

页数：10

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