Skip to main content
Journal of Inequalities and Applications
Download PDF

On Shafer-Fink-Type Inequality

Journal of Inequalities and Applications volume 2007, Article number: 067430 (2007) Cite this article

Abstract

A new simple proof of Shafer-Fink-type inequality proposed by Malešević is given.

[12345678910]

References

  1. Mitrinović DS: Analytic Inequalities, Die Grundlehren der Mathematischen Wisenschaften, Band 165. Springer, New York, NY, USA; 1970:xii+400.

    Google Scholar 

  2. Fink AM: Two inequalities. Univerzitet u Beogradu. Publikacije Elektrotehničkog Fakulteta 1995, 6: 48–49.

    MathSciNet  MATH  Google Scholar 

  3. Zhu L: On Shafer-Fink inequalities. Mathematical Inequalities & Applications 2005,8(4):571–574.

    Article  MathSciNet  MATH  Google Scholar 

  4. Zhu L: A solution of a problem of Oppeheim. Mathematical Inequalities & Applications 2007,10(1):57–61.

    Article  MathSciNet  MATH  Google Scholar 

  5. Malešević BJ: One method for proving inequalities by computer. Journal of Inequalities and Applications 2007, 2007: 8.

    Google Scholar 

  6. Malešević BJ: An application of-method on inequalities of Shafer-Fink's type. to appear in Mathematical Inequalities & Applications to appear in Mathematical Inequalities & Applications

  7. Malešević BJ: Some improvements of one method for proving inequalities by computer. preprint, 2007, http://arxiv.org/abs/math/0701020 preprint, 2007,

  8. Anderson GD, Vamanamurthy MK, Vuorinen MK: Conformal Invariants, Inequalities, and Quasiconformal Maps, Canadian Mathematical Society Series of Monographs and Advanced Texts. John Wiley & Sons, New York, NY, USA; 1997:xxviii+505.

    Google Scholar 

  9. Anderson GD, Qiu S-L, Vamanamurthy MK, Vuorinen M: Generalized elliptic integrals and modular equations. Pacific Journal of Mathematics 2000,192(1):1–37. 10.2140/pjm.2000.192.1

    Article  MathSciNet  Google Scholar 

  10. Pinelis I: L'hospital type results for monotonicity, with applications. Journal of Inequalities in Pure and Applied Mathematics 2002,3(1, Article 5):5.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Zhejiang Gongshang University, Hangzhou, 310035, China

    Ling Zhu

Authors
  1. Ling Zhu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ling Zhu.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Zhu, L. On Shafer-Fink-Type Inequality. J Inequal Appl 2007, 067430 (2007). https://doi.org/10.1155/2007/67430

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2007/67430

Keywords