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The Natural Approaches of Shafer-Fink Inequality for Inverse Sine Function

Author

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  • Ling Zhu

    (Department of Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China)

Abstract

In this paper, we obtain some new natural approaches of Shafer-Fink inequality for arc sine function and the square of arc sine function by using the power series expansions of certain functions, which generalize and strengthen those in the existing literature.

Suggested Citation

  • Ling Zhu, 2022. "The Natural Approaches of Shafer-Fink Inequality for Inverse Sine Function," Mathematics, MDPI, vol. 10(4), pages 1-8, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:4:p:647-:d:753346
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    References listed on IDEAS

    as
    1. Jonathan M. Borwein & Marc Chamberland, 2007. "Integer Powers of Arcsin," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-10, May.
    2. Gabriel Bercu, 2017. "Sharp Refinements for the Inverse Sine Function Related to Shafer-Fink’s Inequality," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-5, August.
    3. Nishizawa, Yusuke, 2015. "Sharpening of Jordan’s type and Shafer–Fink’s type inequalities with exponential approximations," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 146-154.
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