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Refinements, Generalizations, and Applications of Jordan's Inequality and Related Problems

Abstract

This is a survey and expository article. Some new developments on refinements, generalizations, and applications of Jordan's inequality and related problems, including some results about Wilker-Anglesio's inequality, some estimates for three kinds of complete elliptic integrals, and several inequalities for the remainder of power series expansion of the exponential function, are summarized.

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Correspondence to Feng Qi.

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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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Qi, F., Niu, D. & Guo, B. Refinements, Generalizations, and Applications of Jordan's Inequality and Related Problems. J Inequal Appl 2009, 271923 (2009). https://doi.org/10.1155/2009/271923

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Keywords

  • Power Series
  • Exponential Function
  • Series Expansion
  • Related Problem
  • Full Article