Approximations to inverse tangent function

作者:Qiao, Quan-Xi; Chen, Chao-Ping*
来源:JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018, 2018(1): 141.
DOI:10.1186/s13660-018-1734-7

摘要

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