New dynamic Hilbert-type inequalities in two independent variables involving Fenchel–Legendre transform-Reference-Cited by-同舟云学术

New dynamic Hilbert-type inequalities in two independent variables involving Fenchel–Legendre transform

Published:2021-05-03 Issue:1 Volume:2021 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

El-Deeb A. A.^ORCID,Rashid Saima,Khan Zareen A.,Makharesh S. D.

Abstract

AbstractIn this paper, we establish some dynamic Hilbert-type inequalities in two independent variables on time scales by using the Fenchel–Legendre transform. We also apply our inequalities to discrete and continuous calculus to obtain some new inequalities as particular cases. Our results give more general forms of several previously established inequalities.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-021-03394-w.pdf

Reference48 articles.

1. Hilger, S.: Ein Maßkettenkalkül mit Anwendung auf Zentrumsmannigfaltigkeiten. Ph.D. thesis, Universität Würzburg (1988)

2. Bohner, M., Peterson, A.: Dynamic Equations on Time Scales: An Introduction with Applications. Birkhäuser, Boston (2001)

3. Bohner, M., Peterson, A.: Advances in Dynamic Equations on Time Scales. Birkhäuser, Boston (2003)

4. Agarwal, R., O’Regan, D., Saker, S.: Dynamic Inequalities on Time Scales. Springer, Cham (2014)

5. Yang, W.: Some new Hilbert–Pachpatte’s inequalities. J. Inequal. Pure Appl. Math. 10, Article 26 (2009)

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