Estimates for the arctangent function related to Shafer's inequality
Volume 136 / 2014
Colloquium Mathematicum 136 (2014), 263-270
MSC: Primary 26A09, 33B10; Secondary 26D99.
DOI: 10.4064/cm136-2-8
Abstract
The aim of this article is to give new refinements and sharpenings of Shafer's inequality involving the arctangent function. These are obtained by means of a change of variables, which makes the computations much easier than the classical approach.