Refinements of generalized Aczel-Popoviciu's inequality and Bellman's inequality

被引:6
|
作者
Yang, Wengui [1 ]
机构
[1] Sanmenxia Polytech, Minist Publ Educ, Sanmenxia 472000, Peoples R China
关键词
Generalized Aczel-Popoviciu's inequality; Generalized Bellman's inequality;
D O I
10.1016/j.camwa.2010.03.050
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, using the method of Diaz-Barrero et al. (2008) [J.L. Diaz-Barrero, M. Grau-Sanchez, P.G. Popescu, Refinements of Aczel, Popoviciu and Bellman's inequalities, Comput. Math. Appl. 56 (2008) 2356-2359], refinements of generalized Aczel-Popoviciu's inequality and generalized Bellman's inequalities are established. As applications, some integral inequalities are given. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3570 / 3577
页数:8
相关论文
共 50 条
  • [31] On Refinements of Aczél, Popoviciu, Bellman's Inequalities and Related Results
    G Farid
    J Pečarić
    AtiqUr Rehman
    Journal of Inequalities and Applications, 2010
  • [32] Aczel's inequality, superadditivity and horistology
    Balan, T
    Predoi, M
    INEQUALITY THEORY AND APPLICATIONS, VOL 2, 2003, : 1 - 5
  • [33] REVERSED VERSIONS OF ACZEL-TYPE INEQUALITY AND BELLMAN-TYPE INEQUALITY
    Tian, Jing-Feng
    Wang, Wen-Li
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (02): : 417 - 424
  • [34] Refinements of the Erdös-Mordell inequality, Barrow’s inequality, and Oppenheim’s inequality
    Jian Liu
    Journal of Inequalities and Applications, 2016
  • [35] Refinements of Jordan's inequality
    Kuo, Meng-Kuang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [36] Refinements of Jordan's inequality
    Meng-Kuang Kuo
    Journal of Inequalities and Applications, 2011
  • [37] REFINEMENTS OF HOLDER'S INEQUALITY
    Horvath, G.
    ACTA MATHEMATICA HUNGARICA, 2014, 144 (01) : 110 - 118
  • [38] Refinements of the Erdos-Mordell inequality, Barrow's inequality, and Oppenheim's inequality
    Liu, Jian
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016, : 1 - 18
  • [39] Popoviciu's inequality for functions of several variables
    Bencze, Mihaly
    Niculescu, Constantin P.
    Popovici, Florin
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 365 (01) : 399 - 409
  • [40] On Bellman's principle with inequality constraints
    Chong, Edwin K. P.
    Miller, Scott A.
    Adaska, Jason
    OPERATIONS RESEARCH LETTERS, 2012, 40 (02) : 108 - 113