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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm136-2-8,
author = {Cristinel Mortici and H. M. Srivastava},
title = {Estimates for the arctangent function related to Shafer's inequality},
journal = {Colloquium Mathematicae},
volume = {135},
year = {2014},
pages = {263-270},
zbl = {1305.26010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm136-2-8}
}
Cristinel Mortici; H. M. Srivastava. Estimates for the arctangent function related to Shafer's inequality. Colloquium Mathematicae, Tome 135 (2014) pp. 263-270. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm136-2-8/