New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant

The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved Young’s and its reverse inequalities related to the Kittaneh-Manasrah inequality. We also present our new progress to the related research topics. New scalar...

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Detalles Bibliográficos
Autores principales: Zhang, Jie, Wu, Junliang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5382227/
https://www.ncbi.nlm.nih.gov/pubmed/28435206
http://dx.doi.org/10.1186/s13660-017-1344-9
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author Zhang, Jie
Wu, Junliang
author_facet Zhang, Jie
Wu, Junliang
author_sort Zhang, Jie
collection PubMed
description The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved Young’s and its reverse inequalities related to the Kittaneh-Manasrah inequality. We also present our new progress to the related research topics. New scalar versions of Young’s inequalities are promoted, the operator version and the Hilbert-Schmidt form also get a promotion.
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spelling pubmed-53822272017-04-20 New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant Zhang, Jie Wu, Junliang J Inequal Appl Research The purpose of this paper is to give a survey of the progress, advantages and limitations of various operator inequalities involving improved Young’s and its reverse inequalities related to the Kittaneh-Manasrah inequality. We also present our new progress to the related research topics. New scalar versions of Young’s inequalities are promoted, the operator version and the Hilbert-Schmidt form also get a promotion. Springer International Publishing 2017-04-05 2017 /pmc/articles/PMC5382227/ /pubmed/28435206 http://dx.doi.org/10.1186/s13660-017-1344-9 Text en © The Author(s) 2017 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
Zhang, Jie
Wu, Junliang
New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant
title New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant
title_full New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant
title_fullStr New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant
title_full_unstemmed New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant
title_short New progress on the operator inequalities involving improved Young’s and its reverse inequalities relating to the Kantorovich constant
title_sort new progress on the operator inequalities involving improved young’s and its reverse inequalities relating to the kantorovich constant
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5382227/
https://www.ncbi.nlm.nih.gov/pubmed/28435206
http://dx.doi.org/10.1186/s13660-017-1344-9
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AT wujunliang newprogressontheoperatorinequalitiesinvolvingimprovedyoungsanditsreverseinequalitiesrelatingtothekantorovichconstant

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