Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions-Reference-Cited by-同舟云学术

Hermite-Hadamard-Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions

Published:2019-01-06 Issue: Volume:2019 Page:1-9
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Khurshid Yousaf¹,Adil Khan Muhammad¹,Chu Yu-Ming²^ORCID,Khan Zareen Abdulhameed³^ORCID

Affiliation:

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

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

3. Department of Mathematics, Princess Nora Bint Abdulrahman University, Riyadh 11538, Saudi Arabia

Abstract

In this paper, we present a Hermite-Hadamard-Fejér inequality for conformable fractional integrals by using symmetric preinvex functions. We also establish an identity associated with the right hand side of Hermite-Hadamard inequality for preinvex functions; then by using this identity and preinvexity of functions and some well-known inequalities, we find several new Hermite-Hadamard type inequalities for conformal fractional integrals.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2019/3146210.pdf

Reference40 articles.

1. Some new inequalities of Hermite-Hadamard type for s-convex functions with applications

2. Optimal Lehmer Mean Bounds for the Toader Mean

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