Some Dynamic Hilbert-Type Inequalities on Time Scales

Throughout this article, we will demonstrate some new generalizations of dynamic Hilbert type inequalities, which are used in various problems involving symmetry. We develop a number of those symmetric inequalities to a general time scale. From these inequalities, as particular cases, we formulate s...

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Bibliographic Details
Published in:Symmetry (Basel) 2020-09, Vol.12 (9), p.1410
Main Authors: AlNemer, Ghada, Zakarya, Mohammed, Abd El-Hamid, Hoda A., Agarwal, Praveen, Rezk, Haytham M.
Format: Article
Language:English
Subjects:
Hypotheses
Inequalities
Inequality
Mathematical functions
Symmetry
Time
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Summary:Throughout this article, we will demonstrate some new generalizations of dynamic Hilbert type inequalities, which are used in various problems involving symmetry. We develop a number of those symmetric inequalities to a general time scale. From these inequalities, as particular cases, we formulate some integral and discrete inequalities that have been demonstrated in the literature and also extend some of the dynamic inequalities that have been achieved in time scales.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym12091410