On Some Important Dynamic Inequalities of Hardy-Hilbert-Type on Timescales

被引：1
|
作者：
El-Deeb, Ahmed A. [1 ]
Baleanu, Dumitru [2 ,3 ,4 ]
Cesarano, Clemente [5 ]
Abdeldaim, Ahmed [6 ,7 ]
机构：
[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11511, Egypt
[2] Inst Space Sci, Magurele 077125, Romania
[3] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey
[4] China Med Univ, Dept Med Res, Taichung 40447, Taiwan
[5] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II,39, I-00186 Rome, Italy
[6] Port Said Univ, Fac Sci, Dept Math & Comp Sci, Port Said 42511, Egypt
[7] Shaqra Univ, Fac Sci & Humanities, POB 18, Al Dawadmi 11911, Saudi Arabia
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 07期
关键词：
Hilbert's inequality; dynamic inequality; timescale; nabla calculus;
D O I：
10.3390/sym14071421
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this article, by using some algebraic inequalities, nabla Holder inequalities, and nabla Jensen's inequalities on timescales, we proved some new nabla Hilbert-type dynamic inequalities on timescales. These inequalities extend some known dynamic inequalities on timescales and unify some continuous inequalities and their corresponding discrete analogues. Symmetry plays an essential role in determining the correct methods to solve dynamic inequalities.
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页数：16
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