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Some best approximation formulas and inequalities for the Wallis ratio

Author

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  • Qi, Feng
  • Mortici, Cristinel

Abstract

In the paper, the authors establish some best approximation formulas and inequalities for the Wallis ratio. These formulas and inequalities improve an approximation formula and a double inequality for the Wallis ratio presented in 2013 by three mathematicians.

Suggested Citation

  • Qi, Feng & Mortici, Cristinel, 2015. "Some best approximation formulas and inequalities for the Wallis ratio," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 363-368.
    • Handle: RePEc:eee:apmaco:v:253:y:2015:i:c:p:363-368
    DOI: 10.1016/j.amc.2014.12.039
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    Citations

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    Cited by:

    1. Qi, Feng & Mortici, Cristinel, 2015. "Some inequalities for the trigamma function in terms of the digamma function," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 502-511.
    2. Eric Benhamou, 2018. "Connecting Sharpe ratio and Student t-statistic, and beyond," Papers 1808.04233, arXiv.org, revised May 2019.
    3. Eric Benhamou, 2021. "Distribution and statistics of the Sharpe Ratio," Working Papers hal-03207169, HAL.
    4. Noga Alon & Kirill Rudov & Leeat Yariv, 2021. "Dominance Solvability in Random Games," Working Papers 2021-84, Princeton University. Economics Department..
    5. Feng Qi & Bai-Ni Guo, 2017. "Integral Representations of the Catalan Numbers and Their Applications," Mathematics, MDPI, vol. 5(3), pages 1-31, August.

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