[Inégalités inverses aux inégalités d'Aczél pour les opérateurs]
Nous présentons dans cette Note des inégalités faisant intervenir des fonctions décroissantes sur les opérateurs et des moyennes d'opérateurs. Ces inégalités fournissent des inverses aux inégalités d'Aczél pour les opérateurs dans le cas des moyennes géométriques pondérées.
In this paper, we present some inequalities involving operator decreasing functions and operator means. These inequalities provide some reverses of the operator Aczél inequality dealing with the weighted geometric mean.
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@article{CRMATH_2018__356_5_475_0,
author = {Kaleibary, Venus and Furuichi, Shigeru},
title = {Reverses of operator {Acz\'el} inequality},
journal = {Comptes Rendus. Math\'ematique},
pages = {475--481},
publisher = {Elsevier},
volume = {356},
number = {5},
year = {2018},
doi = {10.1016/j.crma.2018.04.005},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2018.04.005/}
}
TY - JOUR AU - Kaleibary, Venus AU - Furuichi, Shigeru TI - Reverses of operator Aczél inequality JO - Comptes Rendus. Mathématique PY - 2018 SP - 475 EP - 481 VL - 356 IS - 5 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2018.04.005/ DO - 10.1016/j.crma.2018.04.005 LA - en ID - CRMATH_2018__356_5_475_0 ER -
%0 Journal Article %A Kaleibary, Venus %A Furuichi, Shigeru %T Reverses of operator Aczél inequality %J Comptes Rendus. Mathématique %D 2018 %P 475-481 %V 356 %N 5 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2018.04.005/ %R 10.1016/j.crma.2018.04.005 %G en %F CRMATH_2018__356_5_475_0
Kaleibary, Venus; Furuichi, Shigeru. Reverses of operator Aczél inequality. Comptes Rendus. Mathématique, Tome 356 (2018) no. 5, pp. 475-481. doi : 10.1016/j.crma.2018.04.005. http://www.numdam.org/articles/10.1016/j.crma.2018.04.005/
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