On Hardy-Hilbert-type inequalities with α-fractional derivatives

被引：0
|
作者：
Ahmed, Marwa M. [1 ]
Hassanein, Wael S. [2 ]
Elsayed, Marwa Sh. [3 ]
Baleanu, Dumitru [4 ,5 ,6 ]
El-Deeb, Ahmed A. [7 ]
机构：
[1] King Abdulaziz Univ, Fac Engn Girls Campus, Dept Elect & Comp Engn, Jeddah, Saudi Arabia
[2] King Abdulaziz Univ, Dept Ind Engn, Fac Engn, Jeddah, Saudi Arabia
[3] Inst Culture & Sci, Cairo 13759, Egypt
[4] Inst Space Sci, Bucharest, Romania
[5] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkiye
[6] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[7] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 09期
关键词：
Steffensen's inequality; dynamic inequality; dynamic integral; time scale; INTEGRAL-INEQUALITIES; TIME SCALES;
D O I：
10.3934/math.20231126
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the current manuscript, new alpha delta dynamic Hardy-Hilbert inequalities on time scales are discussed. These inequalities combine and expand a number of continuous inequalities and their corresponding discrete analogues in the literature. We shall illustrate our results using Holder's inequality on time scales and a few algebraic inequalities.
引用
收藏
页码：22097 / 22111
页数：15
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