An Interesting Inequality for the Euler's Gamma Function

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

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
URI https://vuir.vu.edu.au/id/eprint/17577
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords gamma function, psi function, inequalities, polygamma function
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