Estimates for the arctangent function related to Shafer's inequality

Cristinel Mortici; H. M. Srivastava

Colloquium Mathematicae (2014)

  • Volume: 136, Issue: 2, page 263-270
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Cristinel Mortici, and H. M. Srivastava. "Estimates for the arctangent function related to Shafer's inequality." Colloquium Mathematicae 136.2 (2014): 263-270. <http://eudml.org/doc/284046>.

@article{CristinelMortici2014,
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.},
author = {Cristinel Mortici, H. M. Srivastava},
journal = {Colloquium Mathematicae},
keywords = {Shafer's inequality; arctangent function; approximations and estimates; two-sided inequalities; monotonicity},
language = {eng},
number = {2},
pages = {263-270},
title = {Estimates for the arctangent function related to Shafer's inequality},
url = {http://eudml.org/doc/284046},
volume = {136},
year = {2014},
}

TY - JOUR
AU - Cristinel Mortici
AU - H. M. Srivastava
TI - Estimates for the arctangent function related to Shafer's inequality
JO - Colloquium Mathematicae
PY - 2014
VL - 136
IS - 2
SP - 263
EP - 270
AB - 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.
LA - eng
KW - Shafer's inequality; arctangent function; approximations and estimates; two-sided inequalities; monotonicity
UR - http://eudml.org/doc/284046
ER -

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