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Some Inequalities Involving the Geometric Mean of Natural Numbers and the Ratio of Gamma Functions

Qi, Feng and Guo, Bai-Ni (2000) Some Inequalities Involving the Geometric Mean of Natural Numbers and the Ratio of Gamma Functions. RGMIA research report collection, 4 (1).

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Abstract

In this article, using Stirling’s formula, the series-expansion of digamma functions and other techniques, two inequalities involving the geometric mean of natural numbers and the ratio of gamma functions are obtained.

Item Type: Article
Uncontrolled Keywords: inequality, geometric means, natural number, gamma function, Stirling’s formula, digamma function
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 19 Jul 2012 08:30
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17362
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