IMPROVEMENT OF JENSEN-STEFFENSEN'S INEQUALITY FOR SUPERQUADRATIC FUNCTIONS

被引：16
|
作者：
Abramovich, Shoshana [2 ]
Ivelic, Slavica [1 ]
Pecaric, Josip E. [3 ]
机构：
[1] Univ Split, Fac Civil Technol & Architecture, Split 21000, Croatia
[2] Univ Haifa, Dept Math, IL-31999 Haifa, Israel
[3] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2010年 / 4卷 / 01期
关键词：
Jensen-Steffensen inequality; superquadratic function; convex function;
D O I：
10.15352/bjma/1272374678
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, improvements for superquadratic functions of Jensen-Steffensen's and related inequalities are discussed. For superquadratic functions which are not convex we get inequalities analog to Jensen-Steffensen's inequality for convex functions. For superquadratic functions which are convex (including many useful functions), we get improvements and extensions of Jensen-Steffensen's inequality and related inequalities.
引用
收藏
页码：159 / 169
页数：11
相关论文
共 50 条
  • [1] Jensen-Steffensen's and related inequalities for superquadratic functions
    Abramovich, S.
    Banic, S.
    Matic, M.
    Pecaric, J.
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2008, 11 (01): : 23 - 41
  • [2] Generalizations of Jensen-Steffensen and related integral inequalities for superquadratic functions
    Abramovich, Shoshana
    Ivelic, Slavica
    Pecaric, Josip
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2010, 8 (05): : 937 - 949
  • [3] ON THE JENSEN-STEFFENSEN INEQUALITY FOR GENERALIZED CONVEX FUNCTIONS
    Bakula, M. Klaricic
    Matkovic, A.
    Pecaric, J.
    PERIODICA MATHEMATICA HUNGARICA, 2007, 55 (01) : 19 - 34
  • [4] The Jensen-Steffensen inequality
    Bullen, PS
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 1998, 1 (03): : 391 - 401
  • [5] On the Jensen-Steffensen inequality for generalized convex functions
    M. Klaričić Bakula
    A. Matković
    J. Pečarić
    Periodica Mathematica Hungarica, 2007, 55 : 19 - 34
  • [6] Jensen-Steffensen inequality for strongly convex functions
    Bakula, M. Klaricic
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [7] Converse Jensen-Steffensen inequality
    Ivelic, S.
    Bakula, M. Klaricic
    Pecaric, J.
    AEQUATIONES MATHEMATICAE, 2011, 82 (03) : 233 - 246
  • [8] A COMPANION TO JENSEN-STEFFENSEN INEQUALITY
    PECARIC, JE
    JOURNAL OF APPROXIMATION THEORY, 1985, 44 (03) : 289 - 291
  • [9] On the refinements of the Jensen-Steffensen inequality
    Franjic, Iva
    Khalid, Sadia
    Pecaric, Josip
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [10] On the refinements of the Jensen-Steffensen inequality
    Iva Franjić
    Sadia Khalid
    Josip Pečarić
    Journal of Inequalities and Applications, 2011
12345