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
Descripción
Sumario: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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