AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (261.1 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Applications of Hölder-İşcan inequality for n-times differentiable ( s , m )-convex functions

Khuram Ali Khan1,†, Shaista Ayaz2, İmdat İşcan3, Nehad Ali Shah4,†, Wajaree Weera5( )
Department of Mathematics, University of Sargodha, Sargodha, Pakistan
Government Associate College for Women, Fateh Pur, Layyah, Pakistan
Department of Mathematics, Faculty of Arts and Sciences, Giresun University, Turkey
Department of Mechanical Engineering, Sejong University, Seoul, 05006, South Korea
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand

† These authors contributed equally to this work and are co-first authors

Show Author Information

Abstract

In this work, Hölder-Isçan inequality is used for the class of n-times differentiable ( s , m )-convex functions. The outcomes are new Hermite-Hadamard type inequalities and modified integrals are estimated by better bounds. Special cases are deduced as the existing results from literature. Furthermore, some applications to arithmetic, geometric and logarithmic means are also presented.

Keywords

(s, m)-convex functionn-times differentiable functionsHermite-Hadamard inequalitiesHölder-Isçan inequalitymeans
CLC number: 26D07, 26D15, 26E70

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 1,
January 2023
Pages 1620-1635
DOI: 10.3934/math.2023082

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Khan KA, Ayaz S, İşcan İ, et al. Applications of Hölder-İşcan inequality for n-times differentiable ( s , m )-convex functions. AIMS Mathematics, 2023, 8(1): 1620-1635. https://doi.org/10.3934/math.2023082

4

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 18 August 2022
Revised: 08 October 2022
Accepted: 10 October 2022
Published: 15 January 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)