Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations-Reference-Cited by-同舟云学术

Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations

Published:2018-05-29 Issue: Volume:2018 Page:1-9
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Adil Khan Muhammad¹²,Chu Yu-Ming³^ORCID,Kashuri Artion⁴,Liko Rozana⁴,Ali Gohar⁵^ORCID

Affiliation:

1. College of Science, Hunan City University, Yiyang 413000, China

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

3. Department of Mathematics, Huzhou University, Huzhou 3132000, China

4. Department of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, Vlorë, Albania

5. Department of Mathematics, Islamia College, Peshawar 25000, Pakistan

Abstract

We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type inequalities.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2018/6928130.pdf

Reference27 articles.

1. Some remarks ons-convex functions

2. ON THE HADAMARD’S INEQULALITY FOR CONVEX FUNCTIONS ON THE CO-ORDINATES IN A RECTANGLE FROM THE PLANE

3. Hermite–Hadamard type inequalities for conformable fractional integrals

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