A sharp double inequality for trigonometric functions and its applications
type: Item
instance of: scholarly article
title: A sharp double inequality for trigonometric functions and its applications
zbMATH Open document ID: 1474.26057
DOI: 10.1155/2014/592085
author: Zhen-Hang Yang
author: Yu-Ming Chu
author: Ying-Qing Song
author: Yongmin Li
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We present the best possible parameters \(p\) and \(q\) such that the double inequality \(\left((2 / 3) \text{cos}^{2 p}(t / 2) + 1 / 3\right)^{1 / p} < \text{sin} t / t < \left((2 / 3) \text{cos}^{2 q}(t / 2) + 1 / 3\right)^{1 / q}\) holds for any \(t \in(0, \pi / 2)\). As applications, some new analytic inequalities are established.
Mathematics Subject Classification ID: 26D05
Mathematics Subject Classification ID: 26D15
zbMATH DE Number: 7022671
Wikidata QID: Q59039716
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/592085
OpenAlex ID: W1975826613
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description: scientific article; zbMATH DE number 7022671