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An Interesting Inequality for the Euler's Gamma Function

Batir, Necdet (2004) An Interesting Inequality for the Euler's Gamma Function. Research report collection, 7 (2).

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Abstract

In this short paper we derived new and interesting upper and lower bounds for the Euler’s gamma function in terms of the digamma function ψ(x) = Γ'(x)/Γ(x). The method we use is a nice application of mean value theorem for differentiation.

Item Type: Article
Uncontrolled Keywords: gamma function, psi function, inequalities, polygamma function
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 18 Jul 2012 23:23
Last Modified: 23 May 2013 16:51
URI: http://vuir.vu.edu.au/id/eprint/17577
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