ON GLOBAL BOUNDS FOR GENERALIZED JENSEN'S INEQUALITY

被引:2
|
作者
Sandor, Jozsef [1 ]
机构
[1] Univ Babes Bolyai, Dept Math, Cluj Napoca 400084, Romania
来源
ANNALS OF FUNCTIONAL ANALYSIS | 2013年 / 4卷 / 01期
关键词
Positive linear functional; convex function; global bound; Jensen's discrete inequality; Jensen's integral inequality; mean; mean inequality;
D O I
10.15352/afa/1399899833
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We offer a global bound for an abstract Jensen's functional. Particularly, the results from Simic [Rocky Mount. J. Math., 41 (2011), no. 6, 2021-2031] are reobtained. Applications to integral inequalities and the theory of means are pointed out.
引用
收藏
页码:18 / 24
页数:7
相关论文
共 50 条
  • [21] Remark on Jensen's Inequality
    Farhadian, Reza
    AMERICAN MATHEMATICAL MONTHLY, 2023, 130 (01): : 62 - 62
  • [22] Sharpening Jensen's Inequality
    Liao, J. G.
    Berg, Arthur
    AMERICAN STATISTICIAN, 2019, 73 (03): : 278 - 281
  • [23] On reversing Jensen's inequality
    Jebara, T
    Pentland, A
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 13, 2001, 13 : 231 - 237
  • [24] IMPROVED JENSEN'S INEQUALITY
    Sababheh, Mohammad
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2017, 20 (02): : 389 - 403
  • [25] Jensen's operator inequality
    Hansen, F
    Pedersen, GK
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2003, 35 : 553 - 564
  • [26] On the refinement of Jensen's inequality
    Khan, M. Adil
    Khan, G. Ali
    Ali, T.
    Kilicman, A.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 262 : 128 - 135
  • [27] Jensen's inequality for medians
    Merkle, M
    STATISTICS & PROBABILITY LETTERS, 2005, 71 (03) : 277 - 281
  • [28] An operator inequality related to Jensen's inequality
    Uchiyama, M
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (11) : 3339 - 3344
  • [29] Jensen's Inequality in Finance
    Azar, Samih Antoine
    INTERNATIONAL ADVANCES IN ECONOMIC RESEARCH, 2008, 14 (04) : 433 - 440
  • [30] QUANTUM CORRELATION BOUNDS FOR WIGNER'S INEQUALITY GENERALIZED PARAMETRIZATION
    Degiovanni, Ivo Pietro
    Bovino, Fabio Antonio
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2009, 7 : 257 - 262