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Some new Opial type dynamic inequalities via convex functions and applications
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2021-06-23 , DOI: 10.1186/s13662-021-03461-2
S. H. Saker , J. Alzabut , A. G. Sayed , D. O’Regan

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.



中文翻译:

通过凸函数和应用的一些新的 Opial 类型动态不等式

在本文中,我们在时间尺度上证明了一些新的 Opial 型动态不等式。我们的结果是在凸性框架中通过使用链式法则和 Jensen 和 Hölder 不等式获得的。出于说明目的,我们获得了文献中报道的一些特定的 Opial 型不等式。

更新日期:2021-06-23
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