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New Inequalities of Shafer-Fink Type for Arc Hyperbolic Sine

Abstract

In this paper, we extend some Shafer-Fink-type inequalities for the inverse sine to arc hyperbolic sine, and give two simple proofs of these inequalities by using the power series quotient monotone rule.

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Correspondence to Ling Zhu.

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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.

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Zhu, L. New Inequalities of Shafer-Fink Type for Arc Hyperbolic Sine. J Inequal Appl 2008, 368275 (2008). https://doi.org/10.1155/2008/368275

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  • DOI: https://doi.org/10.1155/2008/368275

Keywords

  • Power Series
  • Simple Proof
  • Full Article
  • Publisher Note
  • Hyperbolic Sine