Some new Opial type dynamic inequalities via convex functions and applications

被引：0
作者：
S. H. Saker
J. Alzabut
A. G. Sayed
D. O’Regan
机构：
[1] Mansoura University,Department of Mathematics, Faculty of Science
[2] Prince Sultan University,Department of Mathematics and General Sciences
[3] OSTIM Technical University,Group of Mathematics, Faculty of Engineering
[4] Al-Azhar University,Department of Mathematics, Faculty of Science
[5] National University of Ireland,School of Mathematics, Statistics and Applied Mathematics
来源：
Advances in Difference Equations | / 2021卷
关键词：
Opial’s inequality; Hölder’s inequality; Jensen’s inequality; Time scales; 26A15; 26A51; 26D10; 26D15; 39A13; 34A40;
D O I：
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中图分类号：
学科分类号：
摘要：
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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