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On some generalizations of dynamic Opial-type inequalities on time scales
Journal article   Open access  Peer reviewed

On some generalizations of dynamic Opial-type inequalities on time scales

Fatma M. KH, A. A. El-Deeb, A. Abdeldaim and Zareen A. Khan
Advances in difference equations, Vol.2019(1), pp.1-14
12/08/2019
DOI: https://doi.org/10.1186/s13662-019-2268-0

Abstract

Analysis Difference and Functional Equations Functional Analysis general Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
In this paper, we prove some new generalizations of dynamic Opial-type inequalities on time scales. From these inequalities, as special cases, we formulate some integral and discrete inequalities proved in the literature and also extend some obtained dynamic inequalities on time scales. The main results are proved by using some algebraic inequalities, Hölder’s inequality, and a simple consequence of Keller’s chain rule on time scales.
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https://doi.org/10.1186/s13662-019-2268-0View
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