Approximations to inverse tangent function

Abstract In this paper, we present a sharp Shafer-type inequality for the inverse tangent function. Based on the Padé approximation method, we give approximations to the inverse tangent function. Based on the obtained result, we establish new bounds for arctanx.

Bibliographic Details
Main Authors: Quan-Xi Qiao, Chao-Ping Chen
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1734-7