NEW HERMITE–HADAMARD–FEJÉR TYPE INEQUALITIES VIA RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS FOR CONVEX FUNCTIONS-Reference-Cited by-同舟云学术

NEW HERMITE–HADAMARD–FEJÉR TYPE INEQUALITIES VIA RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS FOR CONVEX FUNCTIONS

Published:2021-10-13 Issue:07 Volume:29 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

QI YONGFANG¹,LI GUOPING²

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

In this paper, we present new Hermite–Hadamard–Fejér type inequalities via Riemann–Liouville fractional integrals for the function [Formula: see text], where [Formula: see text] is convex function and [Formula: see text] is symmetric with respect to [Formula: see text]. Our results in some special cases yield the well-known classic Hermite–Hadamard–Fejér type inequalities. At the end of the paper, the applications of our results are given.

Funder

Jiangxi Provincial Department of Science and Technology

Education Department of Jiangxi Province

Pingxiang Science Foundation

Youth Science Fund Research Project of Pingxiang University

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21502297

Reference31 articles.