Gamma-Nabla Hardy-Hilbert-Type Inequalities on Time Scales

被引:2
|
作者
Almarri, Barakah [1 ]
El-Deeb, Ahmed A. [2 ]
机构
[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[2] Al Azhar Univ, Fac Sci, Dept Math, Nasr City 11884, Cairo, Egypt
关键词
Hardy-Hilbert's inequality; dynamic inequality; time scales; conformable fractional nabla calculus; INTEGRAL-INEQUALITIES;
D O I
10.3390/axioms12050449
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigated several novel conformable fractional gamma-nabla dynamic Hardy-Hilbert inequalities on time scales in this study. Several continuous inequalities and their corresponding discrete analogues in the literature are combined and expanded by these inequalities. Holder's inequality on time scales and a few algebraic inequalities are used to demonstrate our findings.
引用
收藏
页数:13
相关论文
共 50 条
  • [41] On Some Generalizations of Reverse Dynamic Hardy Type Inequalities on Time Scales
    El-Deeb, Ahmed A.
    Cesarano, Clemente
    AXIOMS, 2022, 11 (07)
  • [42] On innovations of the multivariable fractional Hardy-type inequalities on time scales
    Akin, Lutfi
    Zeren, Yusuf
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2023, 41 (02): : 415 - 422
  • [43] On some extensions of dynamic Hardy-type inequalities on time scales
    Mohamed, Karim A.
    El-Owaidy, Hassan M.
    El-Deeb, Ahmed A.
    Rezk, M.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2023, 30 (02): : 150 - 167
  • [44] Some Extended Nabla and Delta Hardy-Copson Type Inequalities with Applications in Oscillation Theory
    Kayar, Zeynep
    Kaymakcalan, Billur
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (05) : 2407 - 2439
  • [45] Some new dynamic inequalities with several functions of Hardy type on time scales
    Adnane Hamiaz
    Waleed Abuelela
    Samir H. Saker
    Dumitru Baleanu
    Journal of Inequalities and Applications, 2021
  • [46] Some new dynamic inequalities with several functions of Hardy type on time scales
    Hamiaz, Adnane
    Abuelela, Waleed
    Saker, Samir H.
    Baleanu, Dumitru
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [47] Some Generalizations of Dynamic Hardy-Knopp-Type Inequalities on Time Scales
    El-Deeb, Ahmed A.
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (05)
  • [48] NEW HILBERT DYNAMIC INEQUALITIES ON TIME SCALES
    Saker, S. H.
    Ahmed, A. M.
    Rezk, H. M.
    O'Regan, D.
    Agarwal, R. P.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2017, 20 (04): : 1017 - 1039
  • [49] Some dynamic Hilbert-type inequalities for two variables on time scales
    Abd El-Hamid, H. A.
    Rezk, H. M.
    Ahmed, A. M.
    AlNemer, Ghada
    Zakarya, M.
    El Saify, H. A.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [50] Some dynamic Hilbert-type inequalities for two variables on time scales
    H. A. Abd El-Hamid
    H. M. Rezk
    A. M. Ahmed
    Ghada AlNemer
    M. Zakarya
    H. A. El Saify
    Journal of Inequalities and Applications, 2021