Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function

In this paper, using the properties of Schur-convex function, Schur-geometrically convex function and Schur-harmonically convex function, we provide much simpler proofs of the Schur-convexity, Schur-geometric convexity and Schur-harmonic convexity for a composite function of the complete symmetric f...

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Detalles Bibliográficos
Autores principales: Shi, Huan-Nan, Zhang, Jing, Ma, Qing-Hua
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4783327/
https://www.ncbi.nlm.nih.gov/pubmed/27066333
http://dx.doi.org/10.1186/s40064-016-1940-z
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author Shi, Huan-Nan
Zhang, Jing
Ma, Qing-Hua
author_facet Shi, Huan-Nan
Zhang, Jing
Ma, Qing-Hua
author_sort Shi, Huan-Nan
collection PubMed
description In this paper, using the properties of Schur-convex function, Schur-geometrically convex function and Schur-harmonically convex function, we provide much simpler proofs of the Schur-convexity, Schur-geometric convexity and Schur-harmonic convexity for a composite function of the complete symmetric function.
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spelling pubmed-47833272016-04-09 Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function Shi, Huan-Nan Zhang, Jing Ma, Qing-Hua Springerplus Research In this paper, using the properties of Schur-convex function, Schur-geometrically convex function and Schur-harmonically convex function, we provide much simpler proofs of the Schur-convexity, Schur-geometric convexity and Schur-harmonic convexity for a composite function of the complete symmetric function. Springer International Publishing 2016-03-08 /pmc/articles/PMC4783327/ /pubmed/27066333 http://dx.doi.org/10.1186/s40064-016-1940-z Text en © Shi et al. 2016 Open AccessThis 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
Zhang, Jing
Ma, Qing-Hua
Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function
title Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function
title_full Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function
title_fullStr Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function
title_full_unstemmed Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function
title_short Schur-convexity, Schur-geometric and Schur-harmonic convexity for a composite function of complete symmetric function
title_sort schur-convexity, schur-geometric and schur-harmonic convexity for a composite function of complete symmetric function
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4783327/
https://www.ncbi.nlm.nih.gov/pubmed/27066333
http://dx.doi.org/10.1186/s40064-016-1940-z
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AT zhangjing schurconvexityschurgeometricandschurharmonicconvexityforacompositefunctionofcompletesymmetricfunction
AT maqinghua schurconvexityschurgeometricandschurharmonicconvexityforacompositefunctionofcompletesymmetricfunction

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