Novel Fractional Dynamic Hardy-Hilbert-Type Inequalities on Time Scales with Applications

被引:10
|
作者
El-Deeb, Ahmed A. [1 ]
Awrejcewicz, Jan [2 ]
机构
[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
[2] Lodz Univ Technol, Dept Automat Biomechan & Mech, 1-15 Stefanowski St, PL-90924 Lodz, Poland
关键词
Hardy-Hilbert's inequality; Holder's and Jensen's inequality; time scale;
D O I
10.3390/math9222964
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main objective of the present article is to prove some new backward difference dynamic inequalities of Hardy-Hilbert type on time scales. We present and prove very important generalized results with the help of Fenchel-Legendre transform, submultiplicative functions. We prove the (gamma,a)-nabla conformable Holder's and Jensen's inequality on time scales. We prove several inequalities due to Hardy-Hilbert inequalities on time scales. Furthermore, we introduce the continuous inequalities and discrete inequalities as special case.
引用
收藏
页数:31
相关论文
共 50 条
  • [1] 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):
  • [2] 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
  • [3] Gamma-Nabla Hardy-Hilbert-Type Inequalities on Time Scales
    Almarri, Barakah
    El-Deeb, Ahmed A.
    AXIOMS, 2023, 12 (05)
  • [4] On Some Important Dynamic Inequalities of Hardy-Hilbert-Type on Timescales
    El-Deeb, Ahmed A.
    Baleanu, Dumitru
    Cesarano, Clemente
    Abdeldaim, Ahmed
    SYMMETRY-BASEL, 2022, 14 (07):
  • [5] Novel dynamic Hardy-type inequalities on time scales
    El-Deeb, Ahmed A.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (05) : 5299 - 5313
  • [6] On Some Generalizations of Reverse Dynamic Hardy Type Inequalities on Time Scales
    El-Deeb, Ahmed A.
    Cesarano, Clemente
    AXIOMS, 2022, 11 (07)
  • [7] A more accurate multidimensional Hardy-Hilbert-type inequality
    Yang, Bicheng
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2019, 31 (02) : 164 - 170
  • [8] Some Generalizations of Dynamic Hardy-Knopp-Type Inequalities on Time Scales
    El-Deeb, Ahmed A.
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (05)
  • [9] Some reverse inequalities of Hardy type on time scales
    El-Deeb, A. A.
    El-Sennary, H. A.
    Khan, Zareen A.
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [10] Some reverse inequalities of Hardy type on time scales
    A. A. El-Deeb
    H. A. El-Sennary
    Zareen A. Khan
    Advances in Difference Equations, 2020