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Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities

In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the applications of the obtained results.

Detalles Bibliográficos
Autores principales: Shi, Huan-Nan, Wu, Shan-He
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5758722/
https://www.ncbi.nlm.nih.gov/pubmed/29367820
http://dx.doi.org/10.1186/s13660-017-1605-7
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author Shi, Huan-Nan
Wu, Shan-He
author_facet Shi, Huan-Nan
Wu, Shan-He
author_sort Shi, Huan-Nan
collection PubMed
description In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the applications of the obtained results.
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spelling pubmed-57587222018-01-22 Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities Shi, Huan-Nan Wu, Shan-He J Inequal Appl Research In this paper, we discuss the Schur convexity, Schur geometric convexity and Schur harmonic convexity of the generalized geometric Bonferroni mean. Some inequalities related to the generalized geometric Bonferroni mean are established to illustrate the applications of the obtained results. Springer International Publishing 2018-01-08 2018 /pmc/articles/PMC5758722/ /pubmed/29367820 http://dx.doi.org/10.1186/s13660-017-1605-7 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
Shi, Huan-Nan
Wu, Shan-He
Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities
title Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities
title_full Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities
title_fullStr Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities
title_full_unstemmed Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities
title_short Schur convexity of the generalized geometric Bonferroni mean and the relevant inequalities
title_sort schur convexity of the generalized geometric bonferroni mean and the relevant inequalities
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5758722/
https://www.ncbi.nlm.nih.gov/pubmed/29367820
http://dx.doi.org/10.1186/s13660-017-1605-7
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