A weakened version of Davis-Choi-Jensen’s inequality for normalised positive linear maps

Authors :: Sever S Dragomir
Source :: Proyecciones (Antofagasta). 36:81-94
Publication Year :: 2017
Publisher :: Universidad Catolica del Norte - Chile, 2017.
Abstract: In this paper we show that the celebrated Davis-Choi-Jensen’s inequality for normalised positive linear maps can be extended in a weakened form for convex functions. A reverse inequality and applications for important instances of convex (concave) functions are also given.

Subjects :: Convex analysis
Young's inequality
General Mathematics
Logarithmically concave function
010102 general mathematics
Convex set
Linear matrix inequality
01 natural sciences
Combinatorics
0103 physical sciences
010307 mathematical physics
0101 mathematics
Convex function
Jensen's inequality
Karamata's inequality
Mathematics

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