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A Harmonic Mean Inequality for the Gamma Function

✍ Scribed by Gautschi, Walter


Book ID
118198511
Publisher
Society for Industrial and Applied Mathematics
Year
1974
Tongue
English
Weight
217 KB
Volume
5
Category
Article
ISSN
0036-1410

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A harmonic mean inequality for the gamma
✍ Horst Alzer πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 123 KB

We prove that for all positive real numbers x ~ 1, the harmonic mean of (F(x)) 2 and (F(1/x)) 2 is greater than 1. This refines a result of Gautschi (1974).