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
  • [11] GENERALIZATION OF THE JENSEN-MERCER INEQUALITY BY TAYLOR'S POLYNOMIAL
    Matkovic, A.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (04): : 1387 - 1398
  • [12] A generalization of Jensen's inequality for polynomials having concentration at low degrees
    Pavlovic, Mirjana
    Cakic, Nenad
    Rajovic, Miloje
    Radenovic, Stojan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (02) : 332 - 337
  • [13] NOTE ON GENERALIZATION OF THE JENSEN-MERCER INEQUALITY BY TAYLOR'S POLYNOMIAL
    Matkovic, Anita
    Pecaric, Josip
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2019, 22 (04): : 1379 - 1384
  • [14] GENERALIZATION OF JENSEN'S INEQUALITY BY LIDSTONE'S POLYNOMIAL AND RELATED RESULTS
    Aras-Gazic, Gorana
    Culjak, Vera
    Pecaric, Josip
    Vukelic, Ana
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2013, 16 (04): : 1243 - 1267
  • [15] Generalization of cyclic refinements of Jensen’s inequality by Fink’s identity
    Nasir Mehmood
    Saad Ihsan Butt
    László Horváth
    Josip Pečarić
    Journal of Inequalities and Applications, 2018
  • [16] Generalization of cyclic refinements of Jensen's inequality by Fink's identity
    Mehmood, Nasir
    Butt, Saad Ihsan
    Horvath, Laszlo
    Pecaric, Josip
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [17] Generalization of cyclic refinements of Jensen inequality by montgomery identity and Green's function
    Mehmood, Nasir
    Butt, Saad Ihsan
    Pecaric, Josip
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2018, 11 (04)
  • [18] A Further Generalization of the Reverse Minkowski Type Inequality via Holder and Jensen Inequalities
    Benaissa, Bouharket
    JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2022, 15 (03): : 319 - 328
  • [19] JENSEN INEQUALITY
    GUSEINOV, FV
    MATHEMATICAL NOTES, 1987, 41 (5-6) : 452 - 458
  • [20] A COMPANION INEQUALITY TO JENSEN INEQUALITY
    SLATER, ML
    JOURNAL OF APPROXIMATION THEORY, 1981, 32 (02) : 160 - 166
12345