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 (232.9 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

The Ostrowski inequality for s-convex functions in the third sense

Gültekin Tınaztepe1, Sevda Sezer2, Zeynep Eken2, Sinem Sezer Evcan2( )
Vocational School of Technical Sciences, Akdeniz University, Antalya, Turkey
Department of Mathematics and Science Education, Faculty of Education, Akdeniz University, Antalya, Turkey
Show Author Information

Abstract

In this paper, the Ostrowski inequality for s-convex functions in the third sense is studied. By applying Hölder and power mean integral inequalities, the Ostrowski inequality is obtained for the functions, the absolute values of the powers of whose derivatives are s-convex in the third sense. In addition, by means of these inequalities, an error estimate for a quadrature formula via Riemann sums and some relations involving means are given as applications.

Keywords

convexityinequalityOstrowski inequalityconvex functions-convex function
CLC number: 26A51

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 5605-5615
DOI: 10.3934/math.2022310

{{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:
Tınaztepe G, Sezer S, Eken Z, et al. The Ostrowski inequality for s-convex functions in the third sense. AIMS Mathematics, 2022, 7(4): 5605-5615. https://doi.org/10.3934/math.2022310

1

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 21 October 2021
Revised: 28 December 2021
Accepted: 30 December 2021
Published: 15 April 2022
©2022 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)