The Hermite-Hadamard inequalities for p-convex functions

被引：12
|
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
收藏
页码：1268 / 1279
页数：12
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