Optimal bounds for Seiffert mean in terms of one-parameter means
type: Item
instance of: scholarly article
title: Optimal bounds for Seiffert mean in terms of one-parameter means
zbMATH Open document ID: 1322.26004
DOI: 10.1155/2012/917120
author: Huanan Hu
author: Guo-Yan Tu
author: Yu-Ming Chu
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: The authors present the greatest value \(r_1\) and the least value \(r_2\) such that the double inequality \(J_{r1}(a, b) < T(a, b) < J_{r2}(a, b)\) holds for all \(a, b > 0\) with \(a \neq b\), where \(T(a, b)\) and \(J_p(a, b)\) denote the Seiffert and \(p\)-th one-parameter means of two positive numbers \(a\) and \(b\), respectively.
Mathematics Subject Classification ID: 26E60
zbMATH DE Number: 6170007
Wikidata QID: Q58906932
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/917120
OpenAlex ID: W2090525089
cites work: Q3824627
cites work: Q4206963
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DBLP publication ID: journals/jam/HuTC12
description: scientific article; zbMATH DE number 6170007