N-tuple Diamond-Alpha integral and inequalities on time scales

被引:0
|
作者
Jing-Feng Tian
Ya-Ru Zhu
Wing-Sum Cheung
机构
[1] North China Electric Power University,College of Science and Technology
[2] University of Hong Kong,Department of Mathematics
关键词
Diamond-Alpha integral; -tuple Diamond-Alpha integral; Jensen inequality; Hölder inequality; Beckenbach inequality; Time scales; 26E70; 26D15;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we introduce the notion of n-tuple Diamond-Alpha integral for a function of n variables, and present Jensen, Hölder, Minkowski, Beckenbach, and Lyapunov type inequalities for the n-tuple Diamond-Alpha integral on time scales.
引用
收藏
页码:2189 / 2200
页数:11
相关论文
共 50 条
  • [21] DISCRETE, CONTINUOUS, DELTA, NABLA, AND DIAMOND-ALPHA OPIAL INEQUALITIES
    Bohner, Martin J.
    Mahmoud, Ramy R.
    Saker, Samir H.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (03): : 923 - 940
  • [22] Multiple Diamond-Alpha Integral in General Form and Their Properties, Applications
    Mao, Zhong-Xuan
    Zhu, Ya-Ru
    Hou, Jun-Ping
    Ma, Chun-Ping
    Liu, Shi-Pu
    MATHEMATICS, 2021, 9 (10)
  • [23] Diamond Alpha Hilbert-Type Inequalities on Time Scales
    El-Deeb, Ahmed A.
    Baleanu, Dumitru
    Askar, Sameh S.
    Cesarano, Clemente
    Abdeldaim, Ahmed
    FRACTAL AND FRACTIONAL, 2022, 6 (07)
  • [24] Symmetric Rogers-Holder's inequalities on diamond-alpha calculus
    Iqbal, Sajid
    Sahir, Muhammad Jibril Shahab
    Samraiz, Muhamamd
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2018, 9 (02): : 9 - 19
  • [25] The Diamond Integral on Time Scales
    Brito da Cruz, Artur M. C.
    Martins, Natalia
    Torres, Delfim F. M.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (04) : 1453 - 1462
  • [26] The Diamond Integral on Time Scales
    Artur M. C. Brito da Cruz
    Natália Martins
    Delfim F. M. Torres
    Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 1453 - 1462
  • [27] Some inequalities related to Csiszar divergence via diamond integral on time scales
    Bilal, Muhammad
    Khan, Khuram Ali
    Nosheen, Ammara
    Pecaric, Josip
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [28] On generalized weighted dynamic inequalities for diamond - (sic) integral on time scales calculus
    Akin, Lutfi
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024, 55 (01): : 363 - 376
  • [29] Constantin integral inequalities on time scales
    Ferreira, Rui A. C.
    ARCHIV DER MATHEMATIK, 2009, 93 (02) : 153 - 163
  • [30] Generalized integral inequalities on time scales
    Fayyaz, Tooba
    Irshad, Nazia
    Khan, Asif R.
    Rahman, Ghaus Ur
    Roqia, Gholam
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,