Hardy-Leindler type inequalities for multiple integrals on time scales

被引:0
|
作者
Nosheen, Ammara [1 ]
Awan, Khalid Mahmood [1 ]
Khan, Khuram Ali [1 ]
Ahmad, Hijaz [2 ,3 ]
Qadeer, Atia Tul [4 ]
机构
[1] Univ Sargodha, Dept Math, Sargodha, Pakistan
[2] Near East Univ, Operat Res Ctr Healthcare, Near East Blvd 10, TR-99138 Nicosia Mersin, Turkiye
[3] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele 2,39, I-00186 Rome, Italy
[4] Univ Lahore, Dept Math & Stat, Sargodha Campus, Sargodha, Pakistan
关键词
Time scales calculus; Hardy type inequalities; induction principle;
D O I
10.1515/ms-2023-0028
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Hardy-Leindler type inequalities and their converses for multiple integrals on time scales are proved by using Fubini's theorem and induction principle. Some generalized versions of Hardy, Wirtinger and Leindler inequalities in both continuous and discrete cases are also derived in seek of applications.
引用
收藏
页码:353 / 368
页数:16
相关论文
共 50 条
  • [1] Hardy-Leindler Type Inequalities on Time Scales
    Saker, S. H.
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2014, 8 (06): : 2975 - 2981
  • [2] Generalized Hardy, Copson, Leindler and Bennett inequalities on time scales
    Saker, S. H.
    O'Regan, D.
    Agarwal, R.
    MATHEMATISCHE NACHRICHTEN, 2014, 287 (5-6) : 686 - 698
  • [3] Hardy-Leindler, Yang and Hwang Inequalities for Functions of Several Variables via Time Scale Calculus
    Nosheen, Ammara
    Akbar, Huma
    Sultan, Maroof Ahmad
    Chung, Jae Dong
    Shah, Nehad Ali
    SYMMETRY-BASEL, 2022, 14 (04):
  • [4] HARDY TYPE INEQUALITIES ON TIME SCALES
    Oguntuase, James A.
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2015, 98 (112): : 219 - 226
  • [5] Copson, Leindler Type Inequalities For Function Of Several Variables On Time Scales
    Ahmad, Waseem
    Khan, Khuram Ali
    Nosheen, Ammara
    Sultan, Maroof Ahmad
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (08): : 157 - 168
  • [6] Hardy Type Inequalities for Several Variables and their Converses for Time Scales Integrals via Superquadratic Functions
    R. Bibi
    W. Ahmad
    Analysis Mathematica, 2019, 45 : 249 - 265
  • [7] Hardy Type Inequalities for Several Variables and their Converses for Time Scales Integrals via Superquadratic Functions
    Bibi, R.
    Ahmad, W.
    ANALYSIS MATHEMATICA, 2019, 45 (02) : 249 - 265
  • [8] Some reverse inequalities of Hardy type on time scales
    El-Deeb, A. A.
    El-Sennary, H. A.
    Khan, Zareen A.
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [9] Some reverse inequalities of Hardy type on time scales
    A. A. El-Deeb
    H. A. El-Sennary
    Zareen A. Khan
    Advances in Difference Equations, 2020
  • [10] HARDY-KNOPP-TYPE INEQUALITIES ON TIME SCALES
    Ozkan, Umut Mutlu
    Yildirim, Hueseyin
    DYNAMIC SYSTEMS AND APPLICATIONS, 2008, 17 (3-4): : 477 - 486