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
  • [21] On an Extension of a Hardy-Hilbert-Type Inequality with Multi-Parameters
    Yang, Bicheng
    Rassias, Michael Th.
    Raigorodskii, Andrei
    MATHEMATICS, 2021, 9 (19)
  • [22] Some Dynamic Inequalities of Hilbert's Type
    Ahmed, A. M.
    AlNemer, Ghada
    Zakarya, M.
    Rezk, H. M.
    JOURNAL OF FUNCTION SPACES, 2020, 2020
  • [23] 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):
  • [24] An extended multidimensional Hardy-Hilbert-type inequality with a general homogeneous kernel
    Yang, Bicheng
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2018, 9 (02): : 131 - 143
  • [25] SOME DYNAMIC INEQUALITIES OF HARDY TYPE ON TIME SCALES
    Saker, S. H.
    O'Regan, Donal
    Agarwal, R. P.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (03): : 1183 - 1199
  • [26] GENERALIZED NONCOMMUTATIVE HARDY AND HARDY-HILBERT TYPE INEQUALITIES
    Hansen, Frank
    Krulic, Kristina
    Pecarici, Josip
    Persson, Lars-Erik
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2010, 21 (10) : 1283 - 1295
  • [27] A Hardy-Hilbert-type inequality involving modified weight coefficients and partial sums
    Huang, Xianyong
    Wu, Shanhe
    Yang, Bicheng
    AIMS MATHEMATICS, 2022, 7 (04): : 6294 - 6310
  • [28] p-Adic Hardy-Hilbert-Type Integral Operators on Block Spaces
    Ashraf, Salman
    Rafeiro, Humberto
    P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2025, 17 (01) : 1 - 15
  • [29] A reverse Hardy-Hilbert-type integral inequality involving one derivative function
    Chen, Qian
    Yang, Bicheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [30] HARDY-HILBERT TYPE INEQUALITIES FOR HILBERT SPACE OPERATORS
    Kian, Mohsen
    ANNALS OF FUNCTIONAL ANALYSIS, 2012, 3 (02): : 128 - 134
12345