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New Bounds for the Sine Function and Tangent Function

Author

Listed:
  • Ling Zhu

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

Abstract

Using the power series expansion technique, this paper established two new inequalities for the sine function and tangent function bounded by the functions x 2 sin ( λ x ) / ( λ x ) α and x 2 tan ( μ x ) / ( μ x ) β . These results are better than the ones in the previous literature.

Suggested Citation

  • Ling Zhu, 2021. "New Bounds for the Sine Function and Tangent Function," Mathematics, MDPI, vol. 9(19), pages 1-12, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2373-:d:642313
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    References listed on IDEAS

    as
    1. Yu-Ming Chu & Miao-Kun Wang & Zi-Kui Wang, 2011. "A Sharp Double Inequality between Harmonic and Identric Means," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-7, October.
    2. 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.
    3. Ling Zhu, 2009. "Some New Wilker-Type Inequalities for Circular and Hyperbolic Functions," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-9, July.
    4. Ling Zhu, 2021. "New Inequalities of Cusa–Huygens Type," Mathematics, MDPI, vol. 9(17), pages 1-13, August.
    Full references (including those not matched with items on IDEAS)

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