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
  • [1] A generalization of the Jensen inequality
    Kotlyar, VY
    Antonov, AV
    CYBERNETICS AND SYSTEMS ANALYSIS, 2000, 36 (02) : 229 - 237
  • [2] GENERALIZATION AND REFINEMENTS OF JENSEN INEQUALITY
    Rubab, Faiza
    Nabi, Hira
    Khan, Asif R.
    JOURNAL OF MATHEMATICAL ANALYSIS, 2021, 12 (05): : 1 - 27
  • [3] On Maligranda's generalization of Jensen's inequality
    Pecaric, JE
    Veljan, D
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 200 (01) : 121 - 125
  • [4] Generalization of the Jensen inequality for pseudo-integral
    Pap, Endre
    Strboja, Mirjana
    INFORMATION SCIENCES, 2010, 180 (04) : 543 - 548
  • [5] A Note on Generalization of Classical Jensen's Inequality
    Olanipekun, P. O.
    Mogbademu, A.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 13 (01): : 68 - 70
  • [6] A unified generalization of some refinements of Jensen's inequality
    Shen, Shou-Hua
    Wu, Shan-He
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, (50): : 554 - 560
  • [7] GENERALIZATION AND REFINEMENTS OF THE JENSEN-MERCER INEQUALITY WITH APPLICATIONS
    Khan, Asif R.
    Khan, Inam Ullah
    Ramji, Shahid Sultan Ali
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (04): : 1341 - 1360
  • [8] Generalization of Jensen Mercer inequality on Delta integral with Applications
    Chanan, Sadia
    Irshad, Nazia
    Khan, Afshan
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (03): : 1448 - 1463
  • [9] Generalization of the Jensen's inequality for pseudo-integral
    Pap, Endre
    Strboja, Mirjana
    2008 6TH INTERNATIONAL SYMPOSIUM ON INTELLIGENT SYSTEMS AND INFORMATICS, 2008, : 173 - 175
  • [10] GENERALIZATION OF JENSEN'S INEQUALITY BY HERMITE POLYNOMIALS AND RELATED RESULTS
    Aras-Gazic, G.
    Culjak, V.
    Pecaric, J.
    Vukelic, A.
    MATHEMATICAL REPORTS, 2015, 17 (02): : 201 - 223
12345