Weighted dynamic Hardy-type inequalities involving many functions on arbitrary time scales

被引：0
|
作者：
Ahmed A. El-Deeb
Karim A. Mohamed
Dumitru Baleanu
Haytham M. Rezk
机构：
[1] Al-Azhar University,Department of Mathematics, Faculty of Science
[2] Cankaya University,Department of Mathematics
[3] Institute of Space Science,undefined
来源：
Journal of Inequalities and Applications | / 2022卷
关键词：
Delta derivative; Hardy’s inequality; Hölder’s inequality; Time scales; 26A15; 26A16; 26D10; 26D15; 39A13; 34A40; 34N05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The objective of this paper is to prove some new dynamic inequalities of Hardy type on time scales which generalize and improve some recent results given in the literature. Further, we derive some new weighted Hardy dynamic inequalities involving many functions on time scales. As special cases, we get continuous and discrete inequalities.
引用
收藏
相关论文
共 50 条
  • [21] Some dynamic Hardy-type inequalities with negative parameters on time scales nabla calculus
    Aly, Elkhateeb S.
    Madani, Y. A.
    Gassem, F.
    Saied, A. I.
    Rezk, H. M.
    Mohammed, Wael W.
    AIMS MATHEMATICS, 2024, 9 (02): : 5147 - 5170
  • [22] SOME DYNAMIC INEQUALITIES OF HARDY TYPE ON TIME SCALES
    Saker, S. H.
    O'Regan, Donal
    Agarwal, R. P.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2014, 17 (03): : 1183 - 1199
  • [23] Exploring Generalized Hardy-Type Inequalities via Nabla Calculus on Time Scales
    Rezk, Haytham M.
    Mohammed, Mahmoud I.
    Balogun, Oluwafemi Samson
    Saied, Ahmed I.
    SYMMETRY-BASEL, 2023, 15 (09):
  • [24] 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
  • [25] Unified Generalizations of Hardy-Type Inequalities Through the Nabla Framework on Time Scales
    Rezk, Haytham M.
    Balogun, Oluwafemi Samson
    Bakr, Mahmoud E.
    AXIOMS, 2024, 13 (10)
  • [26] 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)
  • [27] ON WEIGHTED REMAINDER FORM OF HARDY-TYPE INEQUALITIES
    Gao, Peng
    HOUSTON JOURNAL OF MATHEMATICS, 2012, 38 (01): : 177 - 199
  • [28] 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)
  • [29] 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
  • [30] EXTENSIONS OF DYNAMIC INEQUALITIES OF HARDY'S TYPE ON TIME SCALES
    Saker, S. H.
    O'Regan, Donal
    MATHEMATICA SLOVACA, 2015, 65 (05) : 993 - 1012
12345