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 (382.9 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

Sharp weighted Hölder mean bounds for the second kind generalized elliptic integral

Zixuan Wang( ), Chuanlong Sun, Tiren Huang
Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou 310018, China
Show Author Information

Abstract

This paper deals with the second kind of generalized elliptic integral E a , for a in the interval [ 1 2 , 1 ) , approximated by the weighted Hölder mean. It establishes sharp bounds of the weighted Hölder mean of E a in terms of weight, accordingly extending the existing results for the complete case when a = 1 2 and establishing new inequality relationships.

Keywords

generalized elliptic integralweighted Hölder meanhypergeometric functioninequality
CLC number: 33C05, 33E05, 26E60

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 10 Issue 5,
May 2025
Pages 11271-11289
DOI: 10.3934/math.2025511

{{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:
Wang Z, Sun C, Huang T. Sharp weighted Hölder mean bounds for the second kind generalized elliptic integral. AIMS Mathematics, 2025, 10(5): 11271-11289. https://doi.org/10.3934/math.2025511

268

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 28 December 2024
Revised: 05 May 2025
Accepted: 13 May 2025
Published: 15 May 2025
©2025 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)