Weighted arithmetic–geometric operator mean inequalities

In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be positive operators. If [Formula: see text] or [Formula: see text] , then for a...

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Detalles Bibliográficos
Autor principal: Xue, Jianming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6028872/
https://www.ncbi.nlm.nih.gov/pubmed/30046233
http://dx.doi.org/10.1186/s13660-018-1750-7
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author Xue, Jianming
author_facet Xue, Jianming
author_sort Xue, Jianming
collection PubMed
description In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be positive operators. If [Formula: see text] or [Formula: see text] , then for a positive unital linear map Φ, [Formula: see text] where [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] and [Formula: see text] .
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spelling pubmed-60288722018-07-23 Weighted arithmetic–geometric operator mean inequalities Xue, Jianming J Inequal Appl Research In this paper, we refine and generalize some weighted arithmetic–geometric operator mean inequalities due to Lin (Stud. Math. 215:187–194, 2013) and Zhang (Banach J. Math. Anal. 9:166–172, 2015) as follows: Let A and B be positive operators. If [Formula: see text] or [Formula: see text] , then for a positive unital linear map Φ, [Formula: see text] where [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] and [Formula: see text] . Springer International Publishing 2018-07-03 2018 /pmc/articles/PMC6028872/ /pubmed/30046233 http://dx.doi.org/10.1186/s13660-018-1750-7 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Xue, Jianming
Weighted arithmetic–geometric operator mean inequalities
title Weighted arithmetic–geometric operator mean inequalities
title_full Weighted arithmetic–geometric operator mean inequalities
title_fullStr Weighted arithmetic–geometric operator mean inequalities
title_full_unstemmed Weighted arithmetic–geometric operator mean inequalities
title_short Weighted arithmetic–geometric operator mean inequalities
title_sort weighted arithmetic–geometric operator mean inequalities
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6028872/
https://www.ncbi.nlm.nih.gov/pubmed/30046233
http://dx.doi.org/10.1186/s13660-018-1750-7
work_keys_str_mv AT xuejianming weightedarithmeticgeometricoperatormeaninequalities

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