NEW IMPROVEMENT OF THE CONVERSE JENSEN INEQUALITY

被引：9
|
作者：
Pecaric, J. [1 ,2 ]
Peric, J. [3 ]
机构：
[1] Univ Zagreb, Fac Text Technol, Prilaz Banina Filipovica 30, Zagreb 10000, Croatia
[2] RUDN Univ, Miklukho Maklaya Str 6, Moscow 117198, Russia
[3] Univ Split, Dept Math, Fac Sci, Rudera Boskovica 33, Split 21000, Croatia
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2018年 / 21卷 / 01期
关键词：
Convex functions; positive linear functional; converse Jensen inequality; converse Holder inequality; converse Minkowski inequality; quasi-arthmetic mean;
D O I：
10.7153/mia-2018-21-17
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a new refinement of the converse Jensen inequality for linear functionals as well as improvements of some related results. Especially, we give two refinements of the converse Holder inequality for functionals and a refinement of the converse Minkowski inequality for functionals. Application on the quasi-arithmetic and power mean is given.
引用
收藏
页码：217 / 234
页数：18
相关论文
共 50 条
  • [1] ON A NEW CONVERSE OF JENSEN'S INEQUALITY
    Simic, Slavko
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2009, 85 (99): : 107 - 110
  • [2] CONVERSE JENSEN INEQUALITY
    Fitzsimmons, P. J.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2009, 39 (06) : 1905 - 1906
  • [3] On the converse Jensen inequality
    Bakula, M. Klaricic
    Pecaric, J.
    Peric, J.
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (11) : 6566 - 6575
  • [4] Converse Jensen–Steffensen inequality
    S. Ivelić
    M. Klaričić Bakula
    J. Pečarić
    Aequationes mathematicae, 2011, 82 : 233 - 246
  • [5] On a Converse of Jensen's Discrete Inequality
    Slavko Simic
    Journal of Inequalities and Applications, 2009
  • [6] On a Converse of Jensen's Discrete Inequality
    Simic, Slavko
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
  • [7] Converse Jensen-Steffensen inequality
    Ivelic, S.
    Bakula, M. Klaricic
    Pecaric, J.
    AEQUATIONES MATHEMATICAE, 2011, 82 (03) : 233 - 246
  • [8] A new improvement of Jensen's inequality
    Dragomir, S. S.
    Indian Journal of Pure and Applied Mathematics, 26 (10):
  • [9] A new improvement of Jensen's inequality
    Dragomir, SS
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1995, 26 (10): : 959 - 968
  • [10] On the converse Jensen inequality for strongly convex functions
    Bakula, Milica Klaricic
    Nikodem, Kazimierz
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 434 (01) : 516 - 522
12345