Inequalities for q-h-Integrals via ℏ-Convex and m-Convex Functions-Reference-Cited by-同舟云学术

Inequalities for q-h-Integrals via ℏ-Convex and m-Convex Functions

Published:2023-03-07 Issue:3 Volume:15 Page:666
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Chen Dong¹^ORCID,Anwar Matloob²,Farid Ghulam³^ORCID,Bibi Waseela³

Affiliation:

1. College of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, China

2. School of Natural Sciences, NUST, Islamabad 44000, Pakistan

3. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan

Abstract

This paper investigates several integral inequalities held simultaneously for q and h-integrals in implicit form. These inequalities are established for symmetric functions using certain types of convex functions. Under certain conditions, Hadamard-type inequalities are deducible for q-integrals. All the results are applicable for ℏ-convex, m-convex and convex functions defined on the non-negative part of the real line.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/3/666/pdf

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