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A Power Mean Inequality for the Gamma Function

โœ Scribed by Horst Alzer


Book ID
106198980
Publisher
Springer Vienna
Year
2000
Tongue
English
Weight
96 KB
Volume
131
Category
Article
ISSN
0026-9255

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๐Ÿ“œ SIMILAR VOLUMES


A harmonic mean inequality for the gamma
โœ Horst Alzer ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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).