On a result of Cartwright and Field

Let [Formula: see text] , [Formula: see text] , and [Formula: see text] be the weighted power means of n non-negative numbers [Formula: see text] , [Formula: see text] , with [Formula: see text] satisfying [Formula: see text] . For [Formula: see text] , a result of Cartwright and Field shows that wh...

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Detalles Bibliográficos
Autor principal: Gao, Peng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6299061/
https://www.ncbi.nlm.nih.gov/pubmed/30839847
http://dx.doi.org/10.1186/s13660-018-1948-8
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author Gao, Peng
author_facet Gao, Peng
author_sort Gao, Peng
collection PubMed
description Let [Formula: see text] , [Formula: see text] , and [Formula: see text] be the weighted power means of n non-negative numbers [Formula: see text] , [Formula: see text] , with [Formula: see text] satisfying [Formula: see text] . For [Formula: see text] , a result of Cartwright and Field shows that when [Formula: see text] , [Formula: see text] , [Formula: see text] where [Formula: see text] , [Formula: see text] , [Formula: see text] . In this paper, we determine all the pairs [Formula: see text] such that the right-hand side inequality above holds and all the pairs [Formula: see text] , [Formula: see text] such that the left-hand side inequality above holds.
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spelling pubmed-62990612019-01-03 On a result of Cartwright and Field Gao, Peng J Inequal Appl Research Let [Formula: see text] , [Formula: see text] , and [Formula: see text] be the weighted power means of n non-negative numbers [Formula: see text] , [Formula: see text] , with [Formula: see text] satisfying [Formula: see text] . For [Formula: see text] , a result of Cartwright and Field shows that when [Formula: see text] , [Formula: see text] , [Formula: see text] where [Formula: see text] , [Formula: see text] , [Formula: see text] . In this paper, we determine all the pairs [Formula: see text] such that the right-hand side inequality above holds and all the pairs [Formula: see text] , [Formula: see text] such that the left-hand side inequality above holds. Springer International Publishing 2018-12-18 2018 /pmc/articles/PMC6299061/ /pubmed/30839847 http://dx.doi.org/10.1186/s13660-018-1948-8 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
Gao, Peng
On a result of Cartwright and Field
title On a result of Cartwright and Field
title_full On a result of Cartwright and Field
title_fullStr On a result of Cartwright and Field
title_full_unstemmed On a result of Cartwright and Field
title_short On a result of Cartwright and Field
title_sort on a result of cartwright and field
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6299061/
https://www.ncbi.nlm.nih.gov/pubmed/30839847
http://dx.doi.org/10.1186/s13660-018-1948-8
work_keys_str_mv AT gaopeng onaresultofcartwrightandfield

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