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
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2019年 / 113卷
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
  • [31] Some integral inequalities on time scales
    Adnan Tuna
    Servet Kutukcu
    AppliedMathematicsandMechanics(EnglishEdition), 2008, (01) : 23 - 29
  • [32] Some Integral Inequalities on Time Scales
    Li Yin
    Feng Qi
    Results in Mathematics, 2013, 64 : 371 - 381
  • [33] Generalized integral inequalities on time scales
    Tooba Fayyaz
    Nazia Irshad
    Asif R Khan
    Ghaus ur Rahman
    Gholam Roqia
    Journal of Inequalities and Applications, 2016
  • [34] Some Integral Inequalities on Time Scales
    Yin, Li
    Qi, Feng
    RESULTS IN MATHEMATICS, 2013, 64 (3-4) : 371 - 381
  • [35] Some integral inequalities on time scales
    Adnan Tuna
    Servet Kutukcu
    Applied Mathematics and Mechanics, 2008, 29 : 23 - 29
  • [36] Some integral inequalities on time scales
    Tuna, Adnan
    Kutukcu, Servet
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2008, 29 (01) : 23 - 29
  • [37] Constantin integral inequalities on time scales
    Rui A. C. Ferreira
    Archiv der Mathematik, 2009, 93 : 153 - 163
  • [38] SEVERAL INTEGRAL INEQUALITIES ON TIME SCALES
    Yin, Li
    Luo, Qiu-Ming
    Qi, Feng
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2012, 6 (03): : 419 - 429
  • [39] More on Holder's Inequality and It's Reverse via the Diamond-Alpha Integral
    Zakarya, M.
    Abd El-Hamid, H. A.
    AlNemer, Ghada
    Rezk, H. M.
    SYMMETRY-BASEL, 2020, 12 (10): : 1 - 19
  • [40] Some inequalities related to Csiszár divergence via diamond integral on time scales
    Muhammad Bilal
    Khuram Ali Khan
    Ammara Nosheen
    Josip Pečarić
    Journal of Inequalities and Applications, 2023
12345