Logarithmic convexity and inequalities for the gamma function

被引：30

作者：

Merkle, M

机构：

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1996年 / 203卷 / 02期

关键词：

D O I：

10.1006/jmaa.1996.0385

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a method, based on logarithmic convexity, for producing sharp bounds for the ratio Gamma(x + beta)/Gamma(x). As an application, we present an inequality that sharpens and generalizes inequalities due to Gautschi, Chu, Boyd, Lazarevic- Lupas, and Kershaw. (C) 1996 Academic Press, Inc.

引用

页码：369 / 380

页数：12

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