The FM and BCQ Qualifications for Inequality Systems of Convex Functions in Normed Linear Spaces

2021 ◽  
Vol 31 (2) ◽  
pp. 1410-1432
Author(s):  
Chong Li ◽  
Kung Fu Ng ◽  
Jen-Chih Yao ◽  
Xiaopeng Zhao
Keyword(s):  
Convex Functions ◽  
Linear Spaces ◽  
Normed Linear Spaces ◽  
Inequality Systems

scholarly journals SUPERADDITIVITY OF SOME FUNCTIONALS ASSOCIATED WITH JENSEN’S INEQUALITY FOR CONVEX FUNCTIONS ON LINEAR SPACES WITH APPLICATIONS

2010 ◽  
Vol 82 (1) ◽  
pp. 44-61 ◽  
Author(s):  
S. S. DRAGOMIR
Keyword(s):  
Information Theory ◽  
Convex Functions ◽  
Convex Sets ◽  
Jensen’S Inequality ◽  
Jensen's Inequality ◽  
Norm Inequalities ◽  
Linear Spaces ◽  
Normed Linear Spaces

AbstractSome new results related to Jensen’s celebrated inequality for convex functions defined on convex sets in linear spaces are given. Applications for norm inequalities in normed linear spaces and f-divergences in information theory are provided as well.

An orthogonality in normed linear spaces based on angular distance inequality

2015 ◽  
Vol 90 (2) ◽  
pp. 281-297 ◽  
Author(s):  
F. Dadipour ◽  
F. Sadeghi ◽  
A. Salemi
Keyword(s):  
Angular Distance ◽  
Linear Spaces ◽  
Normed Linear Spaces
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