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Some Mean Value Inequalities for the Gamma Function

โœ Scribed by Gautschi, Walter


Book ID
118198512
Publisher
Society for Industrial and Applied Mathematics
Year
1974
Tongue
English
Weight
707 KB
Volume
5
Category
Article
ISSN
0036-1410

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๐Ÿ“œ SIMILAR VOLUMES


On Some Gamma Function Inequalities
โœ Dutka, Jacques ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Society for Industrial and Applied Mathematics ๐ŸŒ English โš– 506 KB
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).