A Sharp Double Inequality for Trigonometric Functions and Its Applications

We present the best possible parameters p and q such that the double inequality (2/3)cos2p(t/2)+1/31/p<sin t/t<(2/3)cos2q(t/2)+1/31/q holds for any t∈(0,π/2). As applications, some new analytic inequalities are established.

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Bibliographic Details
Main Authors: Zhen-Hang Yang, Yu-Ming Chu, Ying-Qing Song, Yong-Min Li
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/592085
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