A study on reversed dynamic inequalities of Hilbert-type on time scales nabla calculus

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-05-29 DOI:10.1186/s13660-024-03091-8

A. I. Saied

引用次数: 0

Abstract

In this paper, we establish some reversed dynamic inequalities of Hilbert type on time scales nabla calculus by applying reversed Hölder’s inequality, chain rule on time scales, and the mean inequality. As particular cases of our results (when $\mathbb{T}=\mathbb{N}$ and $\mathbb{T}=\mathbb{R}$ ), we get the reversed form of discrete and continuous inequalities proved by Chang-Jian, Lian-Ying and Cheung (Math. Slovaca 61(1):15–28, 2011).

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时间尺度上希尔伯特型反向动态不等式的研究 nabla calculus

在本文中，我们通过应用反向荷尔德不等式、时间尺度上的链式法则和均值不等式，建立了一些时间尺度上的希尔伯特型反向动态不等式。作为我们结果的特例（当 $\mathbb{T}=\mathbb{N}$ 和 $\mathbb{T}=\mathbb{R}$ 时），我们得到了张昌建、连英和张（Math.Slovaca 61(1):15-28, 2011）。

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

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.