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
[21]   SUPERADDITIVITY OF SOME FUNCTIONALS ASSOCIATED WITH JENSEN'S INEQUALITY FOR CONVEX FUNCTIONS ON LINEAR SPACES WITH APPLICATIONS [J].
Dragomir, S. S. .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 82 (01) :44-61
[22]   ON SOME NEW CONVERSES OF CONVEX INEQUALITIES IN HILBERT SPACE [J].
Jaksic, Rozarija ;
Pecaric, Josip .
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2015, 9 (02) :63-82
[23]   Some Parameterized Quantum Midpoint and Quantum Trapezoid Type Inequalities for Convex Functions with Applications [J].
Asawasamrit, Suphawat ;
Ali, Muhammad Aamir ;
Ntouyas, Sotiris K. ;
Tariboon, Jessada .
ENTROPY, 2021, 23 (08)
[24]   Some Generalizations of Different Types of Quantum Integral Inequalities for Differentiable Convex Functions with Applications [J].
Zhao, Dafang ;
Ali, Muhammad Aamir ;
Luangboon, Waewta ;
Budak, Huseyin ;
Nonlaopon, Kamsing .
FRACTAL AND FRACTIONAL, 2022, 6 (03)
[25]   A new generalization of some quantum integral inequalities for quantum differentiable convex functions [J].
Yi-Xia Li ;
Muhammad Aamir Ali ;
Hüseyin Budak ;
Mujahid Abbas ;
Yu-Ming Chu .
Advances in Difference Equations, 2021
[26]   A new generalization of some quantum integral inequalities for quantum differentiable convex functions [J].
Li, Yi-Xia ;
Ali, Muhammad Aamir ;
Budak, Huseyin ;
Abbas, Mujahid ;
Chu, Yu-Ming .
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[27]   New Hermite-Hadamard type integral inequalities for convex functions and their applications [J].
Mehrez, Khaled ;
Agarwal, Praveen .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 350 :274-285
[28]   A CONCEPT OF SYNCHRONICITY ASSOCIATED WITH CONVEX FUNCTIONS IN LINEAR SPACES AND APPLICATIONS [J].
Dragomir, S. S. .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2010, 82 (02) :328-339
[29]   SOME MAJORIZATION INEQUALITIES FOR CONVEX FUNCTIONS OF SEVERAL VARIABLES [J].
Matharu, Jagjit Singh ;
Aujla, Jaspal Singh .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (04) :947-956
[30]   Some Integral Inequalities for p-Convex Functions [J].
Noor, Muhammad Aslam ;
Awan, Muhammad Uzair ;
Noor, Khalida Inayat ;
Postolache, Mihai .
FILOMAT, 2016, 30 (09) :2435-2444