Some Generalizations of Dynamic Hardy-Knopp-Type Inequalities on Time Scales

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-08-02 DOI:10.1007/s12346-024-01102-z

Ahmed A. El-Deeb

引用次数: 0

Abstract

In the present paper, some new generalizations of dynamic inequalities of Hardy-type in two variables on time scales are established. The integral and discrete Hardy-type inequalities that are given as special cases of main results are original. The main results are proved by using the dynamic Jensen inequality and the Fubini theorem on time scales.

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时间尺度上动态哈代-克诺普类不等式的一些泛化

本文对时间尺度上的两变量哈代型动态不等式进行了一些新的概括。作为主要结果特例给出的积分和离散哈代型不等式是原创的。主要结果是利用时间尺度上的动态詹森不等式和富比尼定理证明的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.