On the weighted logarithmic mean of accretive matrices
Filomat, Tome 36 (2022) no. 12, p. 4185
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
The purpose of this paper is to introduce the weighted logarithmic mean of two accretive matrices. Among the obtained results, we present some inequalities about this weighted mean when the involved matrices are sectorial matrices. Our approach allowed us to derive a new matrix mean which is connected to the Heinz matrix mean.
Classification :
46N10, 47A63, 47A64
Keywords: Hermite-Hadamard inequalities, convex analysis, pointwise convex maps, pointwise inequalities, operator inequalities
Keywords: Hermite-Hadamard inequalities, convex analysis, pointwise convex maps, pointwise inequalities, operator inequalities
Mustapha Raïssouli. On the weighted logarithmic mean of accretive matrices. Filomat, Tome 36 (2022) no. 12, p. 4185 . doi: 10.2298/FIL2212185R
@article{10_2298_FIL2212185R,
author = {Mustapha Ra{\"\i}ssouli},
title = {On the weighted logarithmic mean of accretive matrices},
journal = {Filomat},
pages = {4185 },
year = {2022},
volume = {36},
number = {12},
doi = {10.2298/FIL2212185R},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2212185R/}
}
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