Some best approximation formulas and inequalities for Wallis ratio

Abstract

In the paper, the authors establish some best approximation formulas and inequalities for Wallis ratio. These formulas and inequalities improve an approximation formula and a double inequality for Wallis ratio recently presented in ``S. Guo, J.-G. Xu, and F. Qi, \textit{Some exact constants for the approximation of the quantity in the Wallis' formula}, J. Inequal. Appl. 2013, \textbf{2013}:67, 7 pages; Available online at \url{http://dx.doi.org/10.1186/1029-242X-2013-67}''.

6 pages

References in corpus (1)

• Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function

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• On the quantum mechanical derivation of the Wallis formula for $\pi$
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