Elsevier, Applied Mathematics and Computation, (253), p. 363-368
DOI: 10.1016/j.amc.2014.12.039
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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 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}''.