HERMITE–HADAMARD–FEJÉR-TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL INTEGRALS FOR S-CONVEX FUNCTIONS IN THE SECOND SENSE-Reference-Cited by-同舟云学术

HERMITE–HADAMARD–FEJÉR-TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL INTEGRALS FOR S-CONVEX FUNCTIONS IN THE SECOND SENSE

Published:2022-07-28 Issue:07 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

QI YONGFANG¹,LI GUOPING²,WANG SHAN¹,WEN QING ZHI¹

Affiliation:

1. Department of Mathematics, Pingxiang University, Pingxiang, Jiangxi 337055, P. R. China

2. Scientific Research Planning Division, Pingxiang University, Pingxiang, Jiangxi 337055, P. R. China

Abstract

The Hermite–Hadamard–Fejér-type inequality is a powerful tool for studying lower and upper estimations for the integral average of convex function. In this paper, we adopt Hölder’s inequality to establish Hermite–Hadamard–Fejér-type inequalities via Katugampola fractional integrals for the function [Formula: see text], where [Formula: see text] is an s-convex function on [Formula: see text] and [Formula: see text] is symmetric with respect to [Formula: see text]. Our results are generalizations of some earlier results. At the end of the paper, illustrative examples about Hermite–Hadamard–Fejér-type inequalities are given to support our results.

Funder

Scientific Research Foundation of Jiangxi Provincial Education Department

Youth Fundation of Pingxiang University

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22501316

Reference39 articles.

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2. Hermite-Hadamard inequality for new generalized conformable fractional operators

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