Novel dynamic Hardy-type inequalities on time scales

被引：1
|
作者：
El-Deeb, Ahmed A. [1 ]
机构：
[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 05期
关键词：
dynamic inequality; dynamic Minkowski inequality; Fubini theorem; Hardy-type inequality; time scale; WEIGHTED NORM INEQUALITIES; NONLINEAR INTEGRAL-INEQUALITIES; STEFFENSEN-TYPE; LITTLEWOOD;
D O I：
10.1002/mma.8834
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present article, we proved some new dynamic inequalities of Hardy-type on an arbitrary time scale. We have used dynamic Minkowski inequality, dynamic Holder's inequality, dynamic Jensen's inequality and Fubini theorem on time scales to prove our main results. As special case of our results, some Hardy-type integral inequalities known in the literature have been recaptured, and some original discrete inequalities of Hardy-type have been established.
引用
收藏
页码：5299 / 5313
页数：15
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