4.0 Article

ESTIMATES FOR THE ARCTANGENT FUNCTION RELATED TO SHAFER'S INEQUALITY

Journal

COLLOQUIUM MATHEMATICUM
Volume 136, Issue 2, Pages 263-270

Publisher

ARS POLONA-RUCH
DOI: 10.4064/cm136-2-8

Keywords

Shafer's inequality; arctangent function; approximations and estimates; two-sided inequalities; monotonicity

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Funding

  1. Romanian National Authority for Scientific Research CNCS-UEFISCDI [PN-II-ID-PCE-2011-3-0087]

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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.

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