Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications-Reference-Cited by-同舟云学术

Some New Hermite–Hadamard-Type Inequalities Associated with Conformable Fractional Integrals and Their Applications

Published:2020-02-23 Issue: Volume:2020 Page:1-18
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Iqbal Arshad¹,Khan Muhammad Adil¹,Ullah Sana¹,Chu Yu-Ming²³^ORCID

Affiliation:

1. Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan

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

3. School of Mathematics and Statistics, Changsha University of Science & Technology, Changsha 410114, China

Abstract

In this article, we establish some new Hermite–Hadamard-type inequalities involving the conformable fractional integrals. As applications, several inequalities for the approximation error in the midpoint formula and certain bivariate means are derived.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2020/9845407.pdf

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1. Logarithmically Complete Monotonicity Properties Relating to the Gamma Function

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