A+ CATEGORY SCIENTIFIC UNIT

Estimates for the arctangent function related to Shafer's inequality

Volume 136 / 2014

Cristinel Mortici, H. M. Srivastava 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.

Authors

  • Cristinel MorticiDepartment of Mathematics
    Valahia University of Târgovişte
    Bd. Unirii 18
    130082 Târgovişte, Romania
    and
    Academy of Romanian Scientists
    Splaiul Independenţei 54
    0500594 Bucureşti, Romania
    e-mail
  • H. M. SrivastavaDepartment of Mathematics and Statistics
    University of Victoria
    Victoria, British Columbia V8W 3R4, Canada
    e-mail

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