Sharp inequalities for tangent function with applications

Abstract In the article, we present new bounds for the function e t cot ( t ) − 1 $e^{t\cot(t)-1}$ on the interval ( 0 , π / 2 ) $(0, \pi/2)$ and find sharp estimations for the Sine integral and the Catalan constant based on a new monotonicity criterion for the quotient of power series, which refine...

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Bibliographic Details
Main Authors: Hui-Lin Lv, Zhen-Hang Yang, Tian-Qi Luo, Shen-Zhou Zheng
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1372-5