A unified approach to dynamic Hardy-type and Copson-type inequalities

被引：1

作者：

Saker, Samir H. ^{[1
,2
]}

Mahmoud, Ramy R. ^{[3
,4
]}

Abdo, Khadega R. ^{[3
,4
]}

Krnic, Mario ^{[5
]}

机构：

[1] Galala Univ, Fac Adv Basic Sci, Math Div, Galala New City, Egypt

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[3] Univ Technol & Appl Sci ALRustaq, Rustaq 329, Oman

[4] Fayoum Univ, Fac Sci, Dept Math, Al Fayyum, Egypt

[5] Univ Zagreb, Fac Elect Engn & Comp, Unska 3, Zagreb 10000, Croatia

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2022年 / 174卷

关键词：

Hardy inequality; Copson inequality; Holder inequality; Time scales; Chain rule; TIME SCALES; EXTENSIONS;

D O I：

10.1016/j.bulsci.2021.103089

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish a unified treatment of dynamic Hardy-type and Copson-type inequalities. More precisely, we derive a pair of dynamic inequalities which represent time scales extensions of the corresponding recent relations in the classical real setting. Our main results are derived by virtue of the time scales Holder's inequality, the time scales variant of the Fubini theorem and the time scales power rules of integration. As an application, our results are compared with some previously known results from the literature. (c) 2021 Elsevier Masson SAS. All rights reserved.

引用

页数：18

共 29 条

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