Title : ( Some results on Kwong functions and related inequalities )
Authors: Hamed Najafi ,
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Abstract
We investigate some relations between Kwong functions and operator monotone functions. As an application, we present an arithmetic–geometric mean type inequality by showing that for two continuous functions f, g on (0,∞)(0,∞) such that View the MathML sourceh(t)=f(t)g(t) is a Kwong function and f(t)g(t)⩽tf(t)g(t)⩽t, any positive matrices A, B and any matrix X, it holds that
Keywords
Kwong function; Operator monotone function; Arithmetic–geometric mean type inequality
@article{paperid:1057546,
author = {Najafi, Hamed},
title = {Some results on Kwong functions and related inequalities},
journal = {Linear Algebra and its Applications},
year = {2013},
volume = {439},
number = {9},
month = {November},
issn = {0024-3795},
pages = {2634--2641},
numpages = {7},
keywords = {Kwong function; Operator monotone function; Arithmetic–geometric mean type inequality},
}
%0 Journal Article
%T Some results on Kwong functions and related inequalities
%A Najafi, Hamed
%J Linear Algebra and its Applications
%@ 0024-3795
%D 2013
