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Sharpening of Jordan’s type and Shafer–Fink’s type inequalities with exponential approximations

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  • Nishizawa, Yusuke

Abstract

In this paper, we give some exponential inequalities derived from the generalized Jordan’s inequalities (Debnath and Zhao, 2003; Zhu, 2006) and Shafer–Fink’s inequalities (Fink, 1995; Mitrinović, 1970).

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:146-154
    DOI: 10.1016/j.amc.2015.07.041
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    Cited by:

    1. Ling Zhu, 2022. "The Natural Approaches of Shafer-Fink Inequality for Inverse Sine Function," Mathematics, MDPI, vol. 10(4), pages 1-8, February.
    2. Lina Zhang & Xuesi Ma, 2018. "New Refinements and Improvements of Jordan’s Inequality," Mathematics, MDPI, vol. 6(12), pages 1-8, November.
    3. Lina Zhang & Xuesi Ma, 2019. "New Polynomial Bounds for Jordan’s and Kober’s Inequalities Based on the Interpolation and Approximation Method," Mathematics, MDPI, vol. 7(8), pages 1-9, August.
    4. Mohamed Jleli & Bessem Samet, 2023. "Integral Inequalities Involving Strictly Monotone Functions," Mathematics, MDPI, vol. 11(8), pages 1-14, April.

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