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

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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