Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters

In the article, we present the best possible parameters [Formula: see text] and [Formula: see text] on the interval [Formula: see text] such that the double inequality [Formula: see text] holds for any [Formula: see text] and all [Formula: see text] with [Formula: see text] , where [Formula: see tex...

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Detalles Bibliográficos
Autores principales: Qian, Wei-Mao, Chu, Yu-Ming
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5668438/
https://www.ncbi.nlm.nih.gov/pubmed/29151708
http://dx.doi.org/10.1186/s13660-017-1550-5
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author Qian, Wei-Mao
Chu, Yu-Ming
author_facet Qian, Wei-Mao
Chu, Yu-Ming
author_sort Qian, Wei-Mao
collection PubMed
description In the article, we present the best possible parameters [Formula: see text] and [Formula: see text] on the interval [Formula: see text] such that the double inequality [Formula: see text] holds for any [Formula: see text] and all [Formula: see text] with [Formula: see text] , where [Formula: see text] , [Formula: see text] and [Formula: see text] are the arithmetic, geometric and special quasi-arithmetic means of a and b, respectively.
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spelling pubmed-56684382017-11-16 Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters Qian, Wei-Mao Chu, Yu-Ming J Inequal Appl Research In the article, we present the best possible parameters [Formula: see text] and [Formula: see text] on the interval [Formula: see text] such that the double inequality [Formula: see text] holds for any [Formula: see text] and all [Formula: see text] with [Formula: see text] , where [Formula: see text] , [Formula: see text] and [Formula: see text] are the arithmetic, geometric and special quasi-arithmetic means of a and b, respectively. Springer International Publishing 2017-11-02 2017 /pmc/articles/PMC5668438/ /pubmed/29151708 http://dx.doi.org/10.1186/s13660-017-1550-5 Text en © The Author(s) 2017 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
Qian, Wei-Mao
Chu, Yu-Ming
Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters
title Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters
title_full Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters
title_fullStr Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters
title_full_unstemmed Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters
title_short Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters
title_sort sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5668438/
https://www.ncbi.nlm.nih.gov/pubmed/29151708
http://dx.doi.org/10.1186/s13660-017-1550-5
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