Jordan type inequalities for hyperbolic functions and their applications
type: Item
instance of: scholarly article
title: Jordan type inequalities for hyperbolic functions and their applications
zbMATH Open document ID: 1323.26021
DOI: 10.1155/2015/370979
author: Zhen-Hang Yang
author: Yu-Ming Chu
published in: Journal of Function Spaces
publication date: 2015-08-20T00:00:00Z
review text: Summary: We present the best possible parameters \(p, q \in (0,\infty)\) such that the double inequality \((1/3p^2)\cosh (px)+1-1/3p^2<\sinh (x)/x<(1/3q^2)\cosh (qx)\;+ 1 - 1/3q^2\) holds for all \(x\in(0,\infty)\). As applications, some new inequalities for certain special function and bivariate means are found.
Mathematics Subject Classification ID: 26D05
Mathematics Subject Classification ID: 26D07
Mathematics Subject Classification ID: 33B10
zbMATH DE Number: 6474203
Wikidata QID: Q59112803
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/370979
OpenAlex ID: W2017040217
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description: scientific article; zbMATH DE number 6474203