A generalization of the Jensen inequality

被引：0
|
作者：
V. Y. Kotlyar
A. V. Antonov
机构：
[1] Institute of Internal Affairs.,Institute of Mathematics
[2] National Academy of Sciences of Ukraine,undefined
来源：
Cybernetics and Systems Analysis | 2000年 / 36卷
关键词：
Jensen inequality; superconvexity of a function; superdifferentiability of a function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new approach for estimating functions and functionals based on the concept of function superconvexity and a generalization of the Jensen inequality is proposed. A new concept is introduced and the associated analytical results are substantiated. Some nontrivial estimates of functions are derived.
引用
收藏
页码：229 / 237
页数：8
相关论文
共 50 条
  • [31] Sharpening Jensen's Inequality
    Liao, J. G.
    Berg, Arthur
    AMERICAN STATISTICIAN, 2019, 73 (03): : 278 - 281
  • [32] The Jensen-Steffensen inequality
    Bullen, PS
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 1998, 1 (03): : 391 - 401
  • [33] On reversing Jensen's inequality
    Jebara, T
    Pentland, A
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 13, 2001, 13 : 231 - 237
  • [34] How sharp is the Jensen inequality?
    Costarelli, Danilo
    Spigler, Renato
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [35] A VISUAL EXPLANATION OF JENSEN INEQUALITY
    NEEDHAM, T
    AMERICAN MATHEMATICAL MONTHLY, 1993, 100 (08): : 768 - 771
  • [36] Jensen's operator inequality
    Hansen, F
    Pedersen, GK
    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2003, 35 : 553 - 564
  • [37] The Jensen inequality in ideal spaces
    Prudnikov V.Ya.
    Journal of Applied and Industrial Mathematics, 2009, 3 (2) : 275 - 283
  • [38] SOME REFINEMENTS OF JENSEN INEQUALITY
    DRAGOMIR, SS
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 168 (02) : 518 - 522
  • [39] A BOTANICAL APPLICATION OF JENSEN INEQUALITY
    OPATOWSKI, I
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1945, 51 (01) : 66 - 66
  • [40] IMPROVED JENSEN'S INEQUALITY
    Sababheh, Mohammad
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2017, 20 (02): : 389 - 403
12345