SOME NEW INEQUALITIES FOR CONVEX FUNCTIONS WITH APPLICATIONS IN NORMED SPACES

被引:0
作者
Barnett, N. S. [1 ]
Dragomir, S. S. [2 ]
机构
[1] Victoria Univ, Sch Comp Sci & Math, Melbourne, Vic 8001, Australia
[2] Victoria Univ, Sch Comp Sci & Math, Melbourne City, MC 8001, Australia
来源
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2008年 / 11卷 / 04期
关键词
Convex functions; Jensen's inequality; normed linear spaces; p-mean absolute deviation;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Some new inequalities for convex functions defined on convex subsets in linear spaces with applications for the p-mean absolute deviation of a sequence of vectors are given, in a normed linear space.
引用
收藏
页码:667 / 678
页数:12
相关论文
共 50 条
[31]   Some Integral Inequalities for Harmonically (α,s)-Convex Functions [J].
Ozcan, Serap .
JOURNAL OF FUNCTION SPACES, 2019, 2019
[32]   Some majorisation type discrete inequalities for convex functions [J].
Dragomir, SS .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2004, 7 (02) :207-216
[33]   OPERATOR INEQUALITIES FOR h-CONVEX FUNCTIONS WITH APPLICATIONS [J].
Nikoufar, Ismail ;
Saeedi, Davuod .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2025, 19 (01) :195-210
[34]   On a new class of convex functions and integral inequalities [J].
Shanhe Wu ;
Muhammad Uzair Awan ;
Muhammad Aslam Noor ;
Khalida Inayat Noor ;
Sabah Iftikhar .
Journal of Inequalities and Applications, 2019
[35]   On a new class of convex functions and integral inequalities [J].
Wu, Shanhe ;
Awan, Muhammad Uzair ;
Noor, Muhammad Aslam ;
Noor, Khalida Inayat ;
Iftikhar, Sabah .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
[37]   The mapping ψx,yp in normed linear spaces and its applications in the theory of inequalities [J].
Dragomir, SS ;
Koliha, JJ .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 1999, 2 (03) :367-381
[38]   JENSEN'S TYPE TRACE INEQUALITIES FOR CONVEX FUNCTIONS OF SELFADJOINT OPERATORS IN HILBERT SPACES [J].
Dragomir, Sever Silvestru .
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2016, 31 (05) :981-998
[39]   SOME INEQUALITIES FOR RECIPROCALLY (s, m)-CONVEX IN THE SECOND SENSE FUNCTIONS AND APPLICATIONS TO SPECIAL MEANS [J].
Bracamonte, Mireya R. ;
Medina-Viloria, Jesus ;
Vivas-Cortez, Miguel .
JOURNAL OF MATHEMATICAL INEQUALITIES, 2020, 14 (02) :483-500
[40]   SOME NEW INTEGRAL INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES OF ABSOLUTE VALUES ARE CONVEX AND CONCAVE [J].
Ozdemir, M. Emin ;
Ekinci, Alper ;
Akdemir, Ahmet Ocak .
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, 10 (02) :212-224