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Alternative proof of the best bounds of Wallis' inequality

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Publication:1014093
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zbMath1160.05301MaRDI QIDQ1014093

J. Martínez

Publication date: 24 April 2009

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)


zbMATH Keywords

monotonicitygamma functionWallis' inequalitybest bound


Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Gamma, beta and polygamma functions (33B15) Other analytical inequalities (26D20)


Related Items (6)

An asymptotic approximation of Wallis' sequence ⋮ The perimeter of a flattened ellipse can be estimated accurately even from Maclaurin’s series ⋮ A simple asymptotic estimate of Wallis' ratio using Stirling's factorial formula ⋮ How is the period of a simple pendulum growing with increasing amplitude? ⋮ Basic asymptotic estimates for powers of Wallis’ ratios ⋮ Simple accurate balanced asymptotic approximation of Wallis' ratio using Euler-Boole alternating summation







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