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).

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
URI https://vuir.vu.edu.au/id/eprint/17362
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords inequality, geometric means, natural number, gamma function, Stirling’s formula, digamma function
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