HERMITE–HADAMARD-TYPE INEQUALITIES INVOLVING SEVERAL KINDS OF FRACTIONAL CALCULUS FOR HARMONICALLY CONVEX FUNCTIONS-Reference-Cited by-同舟云学术

HERMITE–HADAMARD-TYPE INEQUALITIES INVOLVING SEVERAL KINDS OF FRACTIONAL CALCULUS FOR HARMONICALLY CONVEX FUNCTIONS

Published:2023-01 Issue:09 Volume:31 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

SUN WENBING¹^ORCID,WAN HAIYANG¹²³^ORCID

Affiliation:

1. School of Science, Shaoyang University, Shaoyang 422000, P. R. China

2. Department of Mathematics and Theories Peng Cheng Laboratory, Shenzhen, Guangdong 518000, P. R. China

3. Future tech, South China University of Technology, Guangzhou 510640, P. R. China

Abstract

In this paper, we use the properties of Atangana–Baleanu (AB) fractional calculus and Prabhakar fractional calculus to construct some novel Hermite–Hadamard-type fractional integral inequalities for harmonically convex functions. And these inequalities are represented by the Mittag-Leffler functions. Finally, several special inequalities are established to illustrate the applications of our conclusions in special means.

Funder

Natural Science Foundation of Hunan Province

Scientific Research Foundation of Hunan Provincial Education Department

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/S0218348X23501098

Reference37 articles.

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

2. DISCRETE HERMITE–HADAMARD-TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION

3. New Hermite-Hadamard type inequalities for (α,m)-convex functions and applications to special means

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