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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.
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2018
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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. |
format | Online Article Text |
id | pubmed-5758722 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
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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