A harmonic mean inequality for the gamma function
[摘要] We prove that for all positive real numbers x not equal 1, the harmonic mean of (Gamma(x))(2) and (Gamma(1/x))(2) is greater than 1. This refines a result of Gautschi (1974).
[发布日期] 1997-12-23 [发布机构]
[效力级别] [学科分类]
[关键词] gamma function;inequalities;harmonic mean [时效性]