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
  • [31] SOME NEW MULTIDIMENSIONAL HARDY-TYPE INEQUALITIES WITH GENERAL KERNELS ON TIME SCALES
    Awwad, E.
    Saied, A. I.
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2022, 16 (01): : 393 - 412
  • [32] Some new generalized weighted dynamic inequalities of Hardy's type on time scales
    Saker, S. H.
    El-sheikh, M. M. A.
    Madian, A. M.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2021, 23 (04): : 289 - 301
  • [33] Hardy-type inequalities
    Radha, R
    TAIWANESE JOURNAL OF MATHEMATICS, 2000, 4 (03): : 447 - 456
  • [34] Some fractional dynamic inequalities on time scales of Hardy's type
    Sayed, A. G.
    Saker, S. H.
    Ahmed, A. M.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2021, 23 (02): : 98 - 109
  • [35] Hardy-Type Tauberian Conditions on Time Scales
    Ceylan Turan Yalçın
    Oktay Duman
    Mediterranean Journal of Mathematics, 2018, 15
  • [36] Hardy-Type Tauberian Conditions on Time Scales
    Yalcin, Ceylan Turan
    Duman, Oktay
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (05)
  • [37] Dynamic Hardy-type inequalities with non-conjugate parameters
    AlNemer, Ghada
    Zakarya, M.
    Abd El-Hamid, H. A.
    Kenawy, M. R.
    Rezk, H. M.
    ALEXANDRIA ENGINEERING JOURNAL, 2020, 59 (06) : 4523 - 4532
  • [38] SOME DYNAMIC HARDY-TYPE INEQUALITIES WITH GENERAL KERNEL
    Bohner, Martin
    Nosheen, Ammara
    Pecaric, Josip
    Younus, Awais
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2014, 8 (01): : 185 - 199
  • [39] HARDY TYPE INEQUALITIES ON TIME SCALES
    Oguntuase, James A.
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2015, 98 (112): : 219 - 226
  • [40] On a new class of dynamic Hardy-type inequalities and some related generalizations
    Saker, S. H.
    Osman, M. M.
    Anderson, Douglas R.
    AEQUATIONES MATHEMATICAE, 2022, 96 (04) : 773 - 793