On Cauchy-Schwarz inequality for N-tuple diamond-alpha integral

被引:32
作者
Hu, Xi-Mei [1 ]
Tian, Jing-Feng [2 ]
Chu, Yu-Ming [3 ]
Lu, Yan-Xia [2 ]
机构
[1] North China Elect Power Univ, Sch Econ & Management, Baoding, Peoples R China
[2] North China Elect Power Univ, Dept Math & Phys, Baoding, Peoples R China
[3] Huzhou Univ, Dept Math, Huzhou, Peoples R China
关键词
Cauchy-Schwarz inequality; Diamond-alpha integral; Time scales; HERMITE-HADAMARD TYPE; TIME SCALES; CONVEXITY;
D O I
10.1186/s13660-020-2283-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present some new Cauchy-Schwarz inequalities for N-tuple diamond-alpha integral on time scales. The obtained results improve and generalize some Cauchy-Schwarz type inequalities given by many authors.
引用
收藏
页数:15
相关论文
共 37 条
  • [1] Inequalities on time scales: A survey
    Agarwal, R
    Bohner, M
    Peterson, A
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2001, 4 (04): : 535 - 557
  • [2] Agarwal R.P., 2014, Dynamic Inequalities on Time Scales
  • [3] A two-weight inequality for essentially well localized operators with general measures
    Benge, Philip
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 479 (02) : 1506 - 1518
  • [4] Bohner Martin., 2001, DYNAMIC EQUATIONS TI, DOI DOI 10.1007/978-1-4612-0201-1
  • [5] NEW EXPLICIT ROUNDS ON GAMIDOV TYPE INTEGRAL INEQUALITIES ON TIME SCALES AND APPLICATIONS
    Boukerrioua, Khaled
    Diabi, Dallel
    Meziri, Imen
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (03): : 807 - 825
  • [6] Generalized integral inequalities on time scales
    Fayyaz, Tooba
    Irshad, Nazia
    Khan, Asif R.
    Rahman, Ghaus Ur
    Roqia, Gholam
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [7] Greub W., 1959, P AM MATH SOC, V10, P407, DOI DOI 10.1090/S0002-9939-1959-0105028-3
  • [8] Differential and difference calculus - Unified!
    Hilger, S
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (05) : 2683 - 2694
  • [9] Hilger S., 1988, THESIS
  • [10] Hilger Stefan., 1990, RESULTS MATH, V18, P18, DOI [10.1007/BF03323153, DOI 10.1007/BF03323153]