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Some new Opial type dynamic inequalities via convex functions and applications
Journal article   Open access  Peer reviewed

Some new Opial type dynamic inequalities via convex functions and applications

S. H. Saker, J. Alzabut, A. G. Sayed and D. O’Regan
Advances in difference equations, Vol.2021(1), pp.1-16
23/06/2021
DOI: https://doi.org/10.1186/s13662-021-03461-2

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 Opial-type dynamic inequalities on time scales. Our results are obtained in frame of convexity property and by using the chain rule and Jensen and Hölder inequalities. For illustration purpose, we obtain some particular Opial-type inequalities reported in the literature.
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https://doi.org/10.1186/s13662-021-03461-2View
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