Some dynamic Hardy-type inequalities with negative parameters on time scales nabla calculus

被引：4

作者：

Aly, Elkhateeb S. ^{[1
]}

Madani, Y. A. ^{[2
]}

Gassem, F. ^{[2
]}

Saied, A. I. ^{[3
]}

Rezk, H. M. ^{[4
]}

Mohammed, Wael W. ^{[2
,5
]}

机构：

[1] Jazan Univ, Coll Sci, Dept Math, POB 114, Jazan 45142, Saudi Arabia

[2] Univ Hail, Coll Sci, Dept Math, Hail 2440, Saudi Arabia

[3] Benha Univ, Fac Sci, Dept Math, Banha, Egypt

[4] Al Azhar Univ, Fac Sci, Dept Math, Nasr City 11884, Egypt

[5] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 02期

关键词：

Hardy-type inequalities with negative parameters; time scales; reverse Holder's inequality; chain rule;

D O I：

10.3934/math.2024250

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some new dynamic Hardy-type inequalities with negative parameters on time scales nabla calculus by applying the reverse Holder's inequality, integration by parts, and chain rule on time scales nabla calculus. As special cases of our results (when T = R), we get the continuous analouges of inequalities proven by Benaissa and Sarikaya, and when T = N-0, the results to the best of the authors' knowledge are essentially new.

引用

页码：5147 / 5170

页数：24

共 50 条

[41] Hardy-type operators with general kernels and characterizations of dynamic weighted inequalities
Saker, S. H.
Osman, M. M.
O'Regan, D.
Agarwal, R. P.
ANNALES POLONICI MATHEMATICI, 2021, 126 (01) : 55 - 78
[42] More accurate dynamic Hardy-type inequalities obtained via superquadraticity
Saker, Samir H.
Rezk, Haytham M.
Krnic, Mario
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (03) : 2691 - 2713
[43] Some Dynamic Hilbert-Type Inequalities on Time Scales
AlNemer, Ghada
Zakarya, Mohammed
Abd El-Hamid, Hoda A.
Agarwal, Praveen
Rezk, Haytham M.
SYMMETRY-BASEL, 2020, 12 (09):
[44] CONCINNITY OF DYNAMIC INEQUALITIES DESIGNED ON CALCULUS OF TIME SCALES
Sahir, Muhammad Jibril Shahab
Chaudhry, Faryal
EURASIAN MATHEMATICAL JOURNAL, 2024, 15 (01): : 65 - 74
[45] Hardy-Leindler Type Inequalities on Time Scales
Saker, S. H.
APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (06): : 2975 - 2981
[46] Some Hardy-Type Inequalities for Superquadratic Functions via Delta Fractional Integrals
Hanif, Usama
Nosheen, Ammara
Bibi, Rabia
Khan, Khuram Ali
Moradi, Hamid Reza
MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
[47] Characterizations of weighted dynamic Hardy-type inequalities with higher-order derivatives
S. H. Saker
R. R. Mahmoud
K. R. Abdo
Journal of Inequalities and Applications, 2021
[48] Characterizations of weighted dynamic Hardy-type inequalities with higher-order derivatives
Saker, S. H.
Mahmoud, R. R.
Abdo, K. R.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
[49] On some dynamic inequalities of Ostrowski, trapezoid, and Gruss type on time scales
El-Deeb, Ahmed A.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
[50] On some dynamic inequalities of Hilbert's-type on time scales
El-Deeb, Ahmed A.
Baleanu, Dumitrru
Shah, Nehad Ali
Abdeldaim, Ahmed
AIMS MATHEMATICS, 2023, 8 (02): : 3378 - 3402

← 1 2 3 4 5 →