Refined forms of Oppenheim and Cusa-Huygens type inequalities

Authors

  • Yogesh J. Bagul K. K. M. College
  • Christophe Chesneau University of Caen-Normandie

DOI:

https://doi.org/10.12697/ACUTM.2020.24.12

Keywords:

Cusa-Huygens inequality, trigonometric-polynomial bounds, hyperbolic version, monotonicity, Yang's inequality

Abstract

We rene Oppenheim's inequality as well as generalized Cusa-Huygens type inequalities established recently by some researchers. One of the results where the bounds of sin x / x are tractable will be used to obtain a sharp version of Yang's inequality.

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Author Biography

Yogesh J. Bagul, K. K. M. College

Department of Mathematics

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Published

2020-12-31

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Section

Articles