On inequalities of Hermite-Hadamard type via n-polynomial exponential type s-convex functions

被引：3

作者：

Samraiz, Muhammad ^{[1
]}

Saeed, Kanwal ^{[1
]}

Naheed, Saima ^{[1
]}

Rahman, Gauhar ^{[2
]}

Nonlaopon, Kamsing ^{[3
]}

机构：

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

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

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

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 08期

关键词：

Hermite-Hadamard's type inequalities; n-polynomial exponential convex functions; s-convex function; special means; Holder's inequality;

D O I：

10.3934/math.2022787

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new class of Hermite-Hadamard type integral inequalities using a strong type of convexity, known as n-polynomial exponential type s-convex function, is studied. This class is established by utilizing the Holder's inequality, which has several applications in optimization theory. Some existing results of the literature are obtained from newly explored consequences. Finally, some novel limits for specific means of positive real numbers are shown as applications.

引用

页码：14282 / 14298

页数：17

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