New dynamic Hilbert-type inequalities in two independent variables involving Fenchel-Legendre transform

被引：2
|
作者：
El-Deeb, A. A. [1 ]
Rashid, Saima [2 ]
Khan, Zareen A. [3 ]
Makharesh, S. D. [1 ]
机构：
[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
[2] Govt Coll GC Univ, Dept Math, Faisalabad 38000, Pakistan
[3] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Hilbert's inequality; Dynamic inequality; Time scales; Fenchel-Young inequality; 26D10; 26D15; 26E70; 34A40; NONLINEAR INTEGRAL-INEQUALITIES; GRONWALL;
D O I：
10.1186/s13662-021-03394-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish some dynamic Hilbert-type inequalities in two independent variables on time scales by using the Fenchel-Legendre transform. We also apply our inequalities to discrete and continuous calculus to obtain some new inequalities as particular cases. Our results give more general forms of several previously established inequalities.
引用
收藏
页数：24
相关论文
共 50 条
  • [1] New dynamic Hilbert-type inequalities in two independent variables involving Fenchel–Legendre transform
    A. A. El-Deeb
    Saima Rashid
    Zareen A. Khan
    S. D. Makharesh
    Advances in Difference Equations, 2021
  • [2] Dynamic Hilbert-Type Inequalities with Fenchel-Legendre Transform
    El-Deeb, Ahmed A.
    Makharesh, Samer D.
    Baleanu, Dumitru
    SYMMETRY-BASEL, 2020, 12 (04):
  • [3] Integral inequalities of Hilbert's type involving Fenchel-Legendre transform with applications
    Hamiaz, Adnane
    Abuelela, Waleed
    Bahaa, Gaber M.
    JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2019, 13 (01): : 390 - 395
  • [4] Some new discrete Hilbert's inequalities involving Fenchel-Legendre transform
    Hamiaz, A.
    Abuelela, W.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [5] Some new discrete Hilbert’s inequalities involving Fenchel–Legendre transform
    A. Hamiaz
    W. Abuelela
    Journal of Inequalities and Applications, 2020
  • [6] Remarks on Tauberian theorem of exponential type and Fenchel-Legendre transform
    Kasahara, Y
    Kosugi, N
    OSAKA JOURNAL OF MATHEMATICS, 2002, 39 (03) : 613 - 619
  • [7] 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
  • [8] 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)
  • [9] On several new Hilbert-type inequalities involving means operators
    Vandanjav Adiyasuren
    Tserendorj Batbold
    Mario Krnić
    Acta Mathematica Sinica, English Series, 2013, 29 : 1493 - 1514
  • [10] On Several New Hilbert-type Inequalities Involving Means Operators
    Vandanjav ADIYASUREN
    Tserendorj BATBOLD
    Mario KRNI
    ActaMathematicaSinica, 2013, 29 (08) : 1493 - 1514
12345