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