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New approximations of some expressions involving trigonometric functions

Author

Listed:
  • Nenezić, Marija
  • Malešević, Branko
  • Mortici, Cristinel

Abstract

The aim of this paper is to apply a computation method due to Malešević and Makragić (Malešević and Makragić, 2016) for approximating some trigonometric functions. Inequalities of Wilker–Cusa–Huygens are discussed, but the method can be successfully applied to a wide class of problems. In particular, we improve the estimates recently obtained by Mortici (Mortici, 2014) and moreover we show that they hold true also on some extended intervals.

Suggested Citation

  • Nenezić, Marija & Malešević, Branko & Mortici, Cristinel, 2016. "New approximations of some expressions involving trigonometric functions," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 299-315.
    • Handle: RePEc:eee:apmaco:v:283:y:2016:i:c:p:299-315
    DOI: 10.1016/j.amc.2016.02.035
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    Cited by:

    1. Ling Zhu, 2021. "New Bounds for the Sine Function and Tangent Function," Mathematics, MDPI, vol. 9(19), pages 1-12, September.
    2. Ling Zhu, 2021. "High Precision Wilker-Type Inequality of Fractional Powers," Mathematics, MDPI, vol. 9(13), pages 1-24, June.

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