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A Note on Jordan, Adamović‐Mitrinović, and Cusa Inequalities

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Listed:
  • Zhen-Hang Yang
  • Yu-Ming Chu

Abstract

We improve the Jordan, Adamović‐Mitrinović, and Cusa inequalities. As applications, several new Shafer‐Fink type inequalities for inverse sine function and bivariate means inequalities are established, and a new estimate for sine integral is given.

Suggested Citation

  • Zhen-Hang Yang & Yu-Ming Chu, 2014. "A Note on Jordan, Adamović‐Mitrinović, and Cusa Inequalities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:364076
    DOI: 10.1155/2014/364076
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    References listed on IDEAS

    as
    1. Iulia Costin & Gheorghe Toader, 2012. "A Nice Separation of Some Seiffert-Type Means by Power Means," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-6, July.
    2. Ling Zhu, 2009. "Some New Wilker-Type Inequalities for Circular and Hyperbolic Functions," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-9, July.
    3. Ling Zhu, 2009. "Some New Wilker‐Type Inequalities for Circular and Hyperbolic Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Yogesh J. Bagul & Wei-Shih Du, 2025. "On New Generalized Mitrinović-Adamović-Type Inequalities," Mathematics, MDPI, vol. 13(7), pages 1-19, April.
    2. Zhen-Hang Yang & Yun-Liang Jiang & Ying-Qing Song & Yu-Ming Chu, 2014. "Sharp Inequalities for Trigonometric Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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