Some dynamic Hardy-type inequalities with negative parameters on time scales nabla calculus

被引：4

作者：

Aly, Elkhateeb S. ^{[1
]}

Madani, Y. A. ^{[2
]}

Gassem, F. ^{[2
]}

Saied, A. I. ^{[3
]}

Rezk, H. M. ^{[4
]}

Mohammed, Wael W. ^{[2
,5
]}

机构：

[1] Jazan Univ, Coll Sci, Dept Math, POB 114, Jazan 45142, Saudi Arabia

[2] Univ Hail, Coll Sci, Dept Math, Hail 2440, Saudi Arabia

[3] Benha Univ, Fac Sci, Dept Math, Banha, Egypt

[4] Al Azhar Univ, Fac Sci, Dept Math, Nasr City 11884, Egypt

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

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 02期

关键词：

Hardy-type inequalities with negative parameters; time scales; reverse Holder's inequality; chain rule;

D O I：

10.3934/math.2024250

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some new dynamic Hardy-type inequalities with negative parameters on time scales nabla calculus by applying the reverse Holder's inequality, integration by parts, and chain rule on time scales nabla calculus. As special cases of our results (when T = R), we get the continuous analouges of inequalities proven by Benaissa and Sarikaya, and when T = N-0, the results to the best of the authors' knowledge are essentially new.

引用

页码：5147 / 5170

页数：24

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