The Hermite-Hadamard inequalities for p-convex functions

被引：13

作者：

Eken, Zeynep ^{[1
]}

Kemali, Serap ^{[2
]}

Tinaztepe, Gultekin ^{[2
]}

Adilov, Gabil ^{[1
]}

机构：

[1] Akdeniz Univ, Fac Educ, Antalya, Turkey

[2] Akdeniz Univ, Vocat Sch Tech Sci, Antalya, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2021年 / 50卷 / 05期

关键词：

Hermite-Hadamard inequality; convex set; convex function; p-convex function;

D O I：

10.15672/hujms.775508

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the Hermite-Hadamard inequality for p-convex function is provided. Some integral inequalities for them are also presented. Also, based on the integral and double integral of p-convex sets, the new functions are defined and under certain conditions, p-convexity of these functions are shown. Some inequalities for these functions are ex-pressed.

引用

页码：1268 / 1279

页数：12

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