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 (267.5 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

Some reverse dynamic inequalities of Hilbert-type using mean inequality

Elkhateeb S. Aly1,2( ), Said Bourazza1, Sultanah Masmali1, Ahmed I. Saied3,4
Department of Mathematics, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia
Nanotechnology Research Unit, College of Science, Jazan University, P.O. Box 114, Jazan 45142, Saudi Arabia
Department of Mathematics, Faculty of Science, Benha university, Benha, Egypt
Mathematical Institute, Slovak Academy of Sciences, Grešákova 6,040 01 Košice, Slovakia
Show Author Information

Abstract

This paper contains some new reverse dynamic inequalities of Hilbert-type on delta time scale calculus using mean inequality by applying reverse Hölder's inequality, chain rule on time scales, integration by parts, and the mean inequality. As special cases of our results, we get the discrete, continuous, and quantum analogs of inequalities, i.e., when T = N , T = R and T = q N for q > 1.

Keywords

Hilbert-type inequalitiestime scales delta calculusreverse Hölder's inequalitymean inequality
CLC number: 26D10, 26D15, 34N05, 47B38, 39A12

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 11 Issue 2,
February 2026
Pages 4445-4464
DOI: 10.3934/math.2026178

{{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:
Aly ES, Bourazza S, Masmali S, et al. Some reverse dynamic inequalities of Hilbert-type using mean inequality. AIMS Mathematics, 2026, 11(2): 4445-4464. https://doi.org/10.3934/math.2026178

190

Views

5

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 21 November 2025
Revised: 25 January 2026
Accepted: 05 February 2026
Published: 12 February 2026
©2026 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)