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.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] On Hardy-Hilbert-type inequalities with α-fractional derivatives
    Ahmed, Marwa M.
    Hassanein, Wael S.
    Elsayed, Marwa Sh.
    Baleanu, Dumitru
    El-Deeb, Ahmed A.
    AIMS MATHEMATICS, 2023, 8 (09): : 22097 - 22111
  • [2] Important Study on the backward difference Dynamic Hardy-Hilbert-Type Inequalities on Time Scales with Applications
    El-Deeb, Ahmed A.
    Bazighifan, Omar
    Cesarano, Clemente
    SYMMETRY-BASEL, 2022, 14 (02):
  • [3] Novel Fractional Dynamic Hardy-Hilbert-Type Inequalities on Time Scales with Applications
    El-Deeb, Ahmed A.
    Awrejcewicz, Jan
    MATHEMATICS, 2021, 9 (22)
  • [4] (γ,a)-Nabla Reverse Hardy-Hilbert-Type Inequalities on Time Scales
    El-Deeb, Ahmed A.
    Baleanu, Dumitru
    Awrejcewicz, Jan
    SYMMETRY-BASEL, 2022, 14 (08):
  • [5] Gamma-Nabla Hardy-Hilbert-Type Inequalities on Time Scales
    Almarri, Barakah
    El-Deeb, Ahmed A.
    AXIOMS, 2023, 12 (05)
  • [6] Some Dynamic Inequalities Involving Hilbert and Hardy–Hilbert Operators with Kernels
    Donal O’Regan
    Haytham M. Rezk
    Samir H. Saker
    Results in Mathematics, 2018, 73
  • [7] Some Dynamic Inequalities Involving Hilbert and Hardy-Hilbert Operators with Kernels
    O'Regan, Donal
    Rezk, Haytham M.
    Saker, Samir H.
    RESULTS IN MATHEMATICS, 2018, 73 (04)
  • [8] On Some Important Class of Dynamic Hilbert's-Type Inequalities on Time Scales
    El-Owaidy, Hassan M.
    El-Deeb, Ahmed A.
    Makharesh, Samer D.
    Baleanu, Dumitru
    Cesarano, Clemente
    SYMMETRY-BASEL, 2022, 14 (07):
  • [9] On Some Generalizations of Reverse Dynamic Hardy Type Inequalities on Time Scales
    El-Deeb, Ahmed A.
    Cesarano, Clemente
    AXIOMS, 2022, 11 (07)
  • [10] On some dynamic inequalities of Hilbert's-type on time scales
    El-Deeb, Ahmed A.
    Baleanu, Dumitrru
    Shah, Nehad Ali
    Abdeldaim, Ahmed
    AIMS MATHEMATICS, 2023, 8 (02): : 3378 - 3402
12345