A study on reversed dynamic inequalities of Hilbert-type on time scales nabla calculus

In this paper, we establish some reversed dynamic inequalities of Hilbert type on time scales nabla calculus by applying reversed Hölder’s inequality, chain rule on time scales, and the mean inequality. As particular cases of our results (when T = N and T = R ), we get the reversed form of discrete...

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Veröffentlicht in:	Journal of inequalities and applications 2024-05, Vol.2024 (1), p.75-16, Article 75
1. Verfasser:	Saied, A. I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Calculus Hilbert-type inequalities Hölder’s inequality Inequalities Mathematics Mathematics and Statistics Review Time Time scales nabla calculus
Online-Zugang:	Volltext
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Zusammenfassung:	In this paper, we establish some reversed dynamic inequalities of Hilbert type on time scales nabla calculus by applying reversed Hölder’s inequality, chain rule on time scales, and the mean inequality. As particular cases of our results (when T = N and T = R ), we get the reversed form of discrete and continuous inequalities proved by Chang-Jian, Lian-Ying and Cheung ( Math. Slovaca 61(1):15–28, 2011 ).
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/s13660-024-03091-8