A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm

Recently, Kittaneh and Manasrah (J. Math. Anal. Appl. 361:262–269, 2010) showed a refinement of the arithmetic–geometric mean inequality for the Frobenius norm. In this paper, we shall present a generalization of Kittaneh and Manasrah’s result. Meanwhile, we will also give an application of Kittaneh...

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Detalles Bibliográficos
Autor principal: Wu, Xuesha
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6010503/
https://www.ncbi.nlm.nih.gov/pubmed/30137729
http://dx.doi.org/10.1186/s13660-018-1732-9
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author Wu, Xuesha
author_facet Wu, Xuesha
author_sort Wu, Xuesha
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description Recently, Kittaneh and Manasrah (J. Math. Anal. Appl. 361:262–269, 2010) showed a refinement of the arithmetic–geometric mean inequality for the Frobenius norm. In this paper, we shall present a generalization of Kittaneh and Manasrah’s result. Meanwhile, we will also give an application of Kittaneh and Manasrah’s result. That is, we obtain an improvement of Jocić and Kittaneh’s inequality which was presented in (Jocić and Kittaneh in J. Oper. Theory 31:3–10, 1994).
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spelling pubmed-60105032018-06-25 A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm Wu, Xuesha J Inequal Appl Research Recently, Kittaneh and Manasrah (J. Math. Anal. Appl. 361:262–269, 2010) showed a refinement of the arithmetic–geometric mean inequality for the Frobenius norm. In this paper, we shall present a generalization of Kittaneh and Manasrah’s result. Meanwhile, we will also give an application of Kittaneh and Manasrah’s result. That is, we obtain an improvement of Jocić and Kittaneh’s inequality which was presented in (Jocić and Kittaneh in J. Oper. Theory 31:3–10, 1994). Springer International Publishing 2018-06-20 2018 /pmc/articles/PMC6010503/ /pubmed/30137729 http://dx.doi.org/10.1186/s13660-018-1732-9 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
Wu, Xuesha
A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm
title A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm
title_full A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm
title_fullStr A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm
title_full_unstemmed A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm
title_short A generalization and an application of the arithmetic–geometric mean inequality for the Frobenius norm
title_sort generalization and an application of the arithmetic–geometric mean inequality for the frobenius norm
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6010503/
https://www.ncbi.nlm.nih.gov/pubmed/30137729
http://dx.doi.org/10.1186/s13660-018-1732-9
work_keys_str_mv AT wuxuesha ageneralizationandanapplicationofthearithmeticgeometricmeaninequalityforthefrobeniusnorm
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