Some Hermite-Hadamard type inequalities for functions of generalized convex derivative

被引：4

作者：

Korus, P. ^{[1
]}

机构：

[1] Univ Szeged, Juhasz Gyula Fac Educ, Inst Appl Pedag, Hattyas Utca 10, H-6725 Szeged, Hungary

来源：

ACTA MATHEMATICA HUNGARICA | 2021年 / 165卷 / 2期

关键词：

convex function; s-convex function; h-convex function; Hermite-Hadamard inequality;

D O I：

10.1007/s10474-021-01187-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain some new inequalities of Hermite-Hadamard type. We consider functions that have convex or generalized convex derivative. Additional inequalities are proven for functions whose second derivative in absolute values are convex. Applications of the main results are presented.

引用

页码：463 / 473

页数：11

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