Novel dynamic Hardy-type inequalities on time scales

被引：1
|
作者：
El-Deeb, Ahmed A. [1 ]
机构：
[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 05期
关键词：
dynamic inequality; dynamic Minkowski inequality; Fubini theorem; Hardy-type inequality; time scale; WEIGHTED NORM INEQUALITIES; NONLINEAR INTEGRAL-INEQUALITIES; STEFFENSEN-TYPE; LITTLEWOOD;
D O I：
10.1002/mma.8834
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present article, we proved some new dynamic inequalities of Hardy-type on an arbitrary time scale. We have used dynamic Minkowski inequality, dynamic Holder's inequality, dynamic Jensen's inequality and Fubini theorem on time scales to prove our main results. As special case of our results, some Hardy-type integral inequalities known in the literature have been recaptured, and some original discrete inequalities of Hardy-type have been established.
引用
收藏
页码：5299 / 5313
页数：15
相关论文
共 50 条
  • [1] 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
  • [2] Some new Hardy-type inequalities on time scales
    El-Deeb, Ahmed A.
    Elsennary, Hamza A.
    Baleanu, Dumitru
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [3] Some new Hardy-type inequalities on time scales
    Ahmed A. El-Deeb
    Hamza A. Elsennary
    Dumitru Baleanu
    Advances in Difference Equations, 2020
  • [4] Diamond-α Hardy-Type Inequalities on Time Scales
    El-Deeb, Ahmed A.
    Awrejcewicz, Jan
    SYMMETRY-BASEL, 2022, 14 (10):
  • [5] Characterizations of reverse dynamic weighted Hardy-type inequalities with kernels on time scales
    S. H. Saker
    M. M. Osman
    D. O’Regan
    R. P. Agarwal
    Aequationes mathematicae, 2021, 95 : 125 - 146
  • [6] Weighted Hardy-Type Inequalities on Time Scales with Applications
    S. H. Saker
    R. R. Mahmoud
    A. Peterson
    Mediterranean Journal of Mathematics, 2016, 13 : 585 - 606
  • [7] TIME SCALES HARDY-TYPE INEQUALITIES VIA SUPERQUADRACITY
    Oguntuase, James Adedayo
    Persson, Lars-Erik
    ANNALS OF FUNCTIONAL ANALYSIS, 2014, 5 (02): : 61 - 73
  • [8] Weighted Hardy-Type Inequalities on Time Scales with Applications
    Saker, S. H.
    Mahmoud, R. R.
    Peterson, A.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (02) : 585 - 606
  • [9] Characterizations of reverse dynamic weighted Hardy-type inequalities with kernels on time scales
    Saker, S. H.
    Osman, M. M.
    O'Regan, D.
    Agarwal, R. P.
    AEQUATIONES MATHEMATICAE, 2021, 95 (01) : 125 - 146
  • [10] MULTIVARIATE HARDY-TYPE INEQUALITIES ON TIME SCALES VIA SUPERQUADRACITY
    Fabelurin, O. O.
    Oguntuase, J. A.
    PROCEEDINGS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2015, 167 : 29 - 42
12345