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A New Method for Sharpening the Bounds of Several Special Functions

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Abstract

This paper presents a new method to sharpen bounds of both sinc(x) and \(\arcsin (x)\) functions, and the inequalities in exponential form as well. It also provides a method for finding two-sided bounds, which are also unsolved in previous state-of-art references.

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Authors and Affiliations

  1. Key Laboratory of Complex Systems Modeling and Simulation, Ministry of Education, Hangzhou Dianzi University, Hangzhou, China

    Xiao-Diao Chen, Jiaer Shi & Yigang Wang

  2. College of Software, Zhejiang University of Technology, Hangzhou, China

    Pan Xiang

Authors
  1. Xiao-Diao Chen
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  2. Jiaer Shi
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  3. Yigang Wang
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  4. Pan Xiang
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Correspondence to Yigang Wang.

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Chen, XD., Shi, J., Wang, Y. et al. A New Method for Sharpening the Bounds of Several Special Functions. Results Math 72, 695–702 (2017). https://doi.org/10.1007/s00025-017-0700-x

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  • DOI: https://doi.org/10.1007/s00025-017-0700-x

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