Some new Opial type dynamic inequalities via convex functions and applications

Advances in Difference Equations

article

Saker, S. H.¹  Alzabut, J.²  Sayed, A. G.⁴  O’Regan, D.⁵ 

[1] Department of Mathematics, Faculty of Science, Mansoura University;Department of Mathematics and General Sciences, Prince Sultan University;Group of Mathematics, Faculty of Engineering, OSTIM Technical University;Department of Mathematics, Faculty of Science, Al-Azhar University;School of Mathematics, National University of Ireland

关键词: Opial’s inequality;    Hölder’s inequality;    Jensen’s inequality;    Time scales;   

DOI  :  10.1186/s13662-021-03461-2

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY