Hermite-Hadamard-type inequalities via different convexities with applications

被引：5

作者：

Samraiz, Muhammad ^{[1
]}

Malik, Maria ^{[1
]}

Naheed, Saima ^{[1
]}

Rahman, Gauhar ^{[2
]}

Nonlaopon, Kamsing ^{[3
]}

机构：

[1] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan

[2] Hazara Univ Mansehra, Dept Math & Stat, Mansehra, Pakistan

[3] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2023年 / 2023卷 / 01期

关键词：

Error estimates; Hermite-Hadamard-type inequalities; m-convex function; Trapezoid rule; INTEGRAL-INEQUALITIES; MAPPINGS;

D O I：

10.1186/s13660-023-02957-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we explore a class of Hermite-Hadamard integral inequalities for convex and m-convex functions. The Holder inequality is used to create this class, which has a wide range of applications in optimization theory. Some trapezoid-type inequalities and midpoint error estimates are investigated. Inequalities for several q-special functions are highlighted. As particular cases, we have included several previous results.

引用

页数：16

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