Fractional Hadamard and Fejer-Hadamard Inequalities Associated with Exponentially (s, m)-Convex Functions

被引：23

作者：

Guo, Shuya ^{[1
]}

Chu, Yu-Ming ^{[2
,3
]}

Farid, Ghulam ^{[4
]}

Mehmood, Sajid ^{[5
]}

Nazeer, Waqas ^{[6
]}

机构：

[1] Chongqing Univ Arts & Sci, Sch Math & Big Data, Chongqing 402160, Peoples R China

[2] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China

[3] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China

[4] COMSATS Univ Islamabad, Dept Math, Attock Campus, Islamabad, Pakistan

[5] Govt Boys Primary Sch Sherani, Hazro, Attock, Pakistan

[6] GC Univ Lahore, Dept Math, Lahore, Pakistan

来源：

JOURNAL OF FUNCTION SPACES | 2020年 / 2020卷

基金：

中国国家自然科学基金;

关键词：

M-CONVEX FUNCTIONS; HERMITE-HADAMARD; INTEGRALS;

D O I：

10.1155/2020/2410385

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to present the fractional Hadamard and Fejer-Hadamard inequalities for exponentially (s, m)-convex functions. To establish these inequalities, we will utilize generalized fractional integral operators containing the Mittag-Leffler function in their kernels via a monotone function. The presented results in particular contain a number of fractional Hadamard and Fejer-Hadamard inequalities for s-convex, m-convex, (s, m)-convex, exponentially convex, exponentially s-convex, and convex functions.

引用

页数：10

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