Title : ( Matrix Hermite--Hadamard type inequalities )
Authors: Mohammad Sal Moslehian ,
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Abstract
We present several matrix and operator inequalities of Hermite--Hadamard type. We first establish a majorization version for monotone convex functions on matrices. We then utilize the Mond--Pecaric method to get an operator version for convex functions. We also present some applications. Finally we obtain an Hermite--Hadamard inequality for operator convex functions, positive linear maps and operators acting on Hilbert spaces.
Keywords
, Hermite, , Hadamard inequality; convex function; operator convex function; Mond, , Pecaric method; majorization; eigenvalue
@article{paperid:1027370,
author = {Sal Moslehian, Mohammad},
title = {Matrix Hermite--Hadamard type inequalities},
journal = {Houston Journal of Mathematics},
year = {2013},
volume = {30},
number = {1},
month = {October},
issn = {0362-1588},
pages = {177--189},
numpages = {12},
keywords = {Hermite--Hadamard inequality; convex function; operator
convex function; Mond--Pecaric method; majorization;
eigenvalue},
}
%0 Journal Article
%T Matrix Hermite--Hadamard type inequalities
%A Sal Moslehian, Mohammad
%J Houston Journal of Mathematics
%@ 0362-1588
%D 2013
