Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions-Reference-Cited by-同舟云学术

Fractional Hadamard and Fejér-Hadamard Inequalities Associated with Exponentially s,m-Convex Functions

Published:2020-08-07 Issue: Volume:2020 Page:1-10
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Guo Shuya¹,Chu Yu-Ming²³^ORCID,Farid Ghulam⁴,Mehmood Sajid⁵,Nazeer Waqas⁶^ORCID

Affiliation:

1. School of Mathematics and Big Data, Chongqing University of Arts and Sciences, Chongqing 402160, China

2. Department of Mathematics, Huzhou University, Huzhou 313000, China

3. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, China

4. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan

5. Government Boys Primary School Sherani, Hazro, Attock, Pakistan

6. Department of Mathematics, GC University Lahore, Pakistan

Abstract

The aim of this paper is to present the fractional Hadamard and Fejér-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 Fejér-Hadamard inequalities for s-convex, m-convex, s,m-convex, exponentially convex, exponentially s-convex, and convex functions.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/2410385.pdf

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3. Fractional integrals inequalities for exponentially $m$-convex functions