Sharp two-parameter bounds for the identric mean

For [Formula: see text] and [Formula: see text] , we consider the two-parameter family of means [Formula: see text] where A and G denote the arithmetic and geometric means. Sharp bounds for the identric mean in terms of [Formula: see text] are obtained. Our results generalize and extend bounds due t...

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Detalles Bibliográficos
Autor principal: Kouba, Omran
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6267388/
https://www.ncbi.nlm.nih.gov/pubmed/30839872
http://dx.doi.org/10.1186/s13660-018-1917-2
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author Kouba, Omran
author_facet Kouba, Omran
author_sort Kouba, Omran
collection PubMed
description For [Formula: see text] and [Formula: see text] , we consider the two-parameter family of means [Formula: see text] where A and G denote the arithmetic and geometric means. Sharp bounds for the identric mean in terms of [Formula: see text] are obtained. Our results generalize and extend bounds due to Chu et al. (Abstr. Appl. Anal. 2011:657935, 2011) and to Wang et al. (Appl. Math. Lett. 25:471–475, 2012).
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spelling pubmed-62673882018-12-11 Sharp two-parameter bounds for the identric mean Kouba, Omran J Inequal Appl Research For [Formula: see text] and [Formula: see text] , we consider the two-parameter family of means [Formula: see text] where A and G denote the arithmetic and geometric means. Sharp bounds for the identric mean in terms of [Formula: see text] are obtained. Our results generalize and extend bounds due to Chu et al. (Abstr. Appl. Anal. 2011:657935, 2011) and to Wang et al. (Appl. Math. Lett. 25:471–475, 2012). Springer International Publishing 2018-11-22 2018 /pmc/articles/PMC6267388/ /pubmed/30839872 http://dx.doi.org/10.1186/s13660-018-1917-2 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
Kouba, Omran
Sharp two-parameter bounds for the identric mean
title Sharp two-parameter bounds for the identric mean
title_full Sharp two-parameter bounds for the identric mean
title_fullStr Sharp two-parameter bounds for the identric mean
title_full_unstemmed Sharp two-parameter bounds for the identric mean
title_short Sharp two-parameter bounds for the identric mean
title_sort sharp two-parameter bounds for the identric mean
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6267388/
https://www.ncbi.nlm.nih.gov/pubmed/30839872
http://dx.doi.org/10.1186/s13660-018-1917-2
work_keys_str_mv AT koubaomran sharptwoparameterboundsfortheidentricmean

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