Some complementary inequalities to Jensen’s operator inequality

In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions. New improved complementary inequalities are presented by using an improvement of the Mond-Pečarić method. These...

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Detalles Bibliográficos
Autores principales: Mićić, Jadranka, Moradi, Hamid Reza, Furuichi, Shigeru
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5785622/
https://www.ncbi.nlm.nih.gov/pubmed/29398879
http://dx.doi.org/10.1186/s13660-018-1616-z
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author Mićić, Jadranka
Moradi, Hamid Reza
Furuichi, Shigeru
author_facet Mićić, Jadranka
Moradi, Hamid Reza
Furuichi, Shigeru
author_sort Mićić, Jadranka
collection PubMed
description In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions. New improved complementary inequalities are presented by using an improvement of the Mond-Pečarić method. These results are applied to obtain some inequalities with quasi-arithmetic means.
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spelling pubmed-57856222018-02-01 Some complementary inequalities to Jensen’s operator inequality Mićić, Jadranka Moradi, Hamid Reza Furuichi, Shigeru J Inequal Appl Research In this paper, we study some complementary inequalities to Jensen’s inequality for self-adjoint operators, unital positive linear mappings, and real valued twice differentiable functions. New improved complementary inequalities are presented by using an improvement of the Mond-Pečarić method. These results are applied to obtain some inequalities with quasi-arithmetic means. Springer International Publishing 2018-01-25 2018 /pmc/articles/PMC5785622/ /pubmed/29398879 http://dx.doi.org/10.1186/s13660-018-1616-z 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
Mićić, Jadranka
Moradi, Hamid Reza
Furuichi, Shigeru
Some complementary inequalities to Jensen’s operator inequality
title Some complementary inequalities to Jensen’s operator inequality
title_full Some complementary inequalities to Jensen’s operator inequality
title_fullStr Some complementary inequalities to Jensen’s operator inequality
title_full_unstemmed Some complementary inequalities to Jensen’s operator inequality
title_short Some complementary inequalities to Jensen’s operator inequality
title_sort some complementary inequalities to jensen’s operator inequality
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5785622/
https://www.ncbi.nlm.nih.gov/pubmed/29398879
http://dx.doi.org/10.1186/s13660-018-1616-z
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