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

共 11 条

[1] SOME GAMMA FUNCTION INEQUALITIES
ALZER, H
[J]. MATHEMATICS OF COMPUTATION, 1993, 60 (201) : 337 - 346
[2] Artin E., 1964, GAMMA FUNCTION
[3] NOTE ON A PAPER BY UPPULURI
BOYD, AV
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1967, 22 (01) : 9 - &
[4] CHU JT, 1969, AM MATH MONTHLY, V69, P402
[5] FIHTENGOLC GM, 1970, KURS DIFFERENCIALNOG, V2
[6] GAUTSCHI W., 1959, J. Math. and Phys, V38, P77, DOI [10.1002/sapm195938177, DOI 10.1002/SAPM195938177]
[7] Hildebrand F.B., 1974, INTRO NUMERICAL ANAL
[8] KERSHAW D, 1983, MATH COMPUT, V41, P607
[9] LAZAREVIC I, 1979, U BEOGRAD PUBL EL MF, V461, P245
[10] Mitrinovic D. S., 1970, ANAL INEQUALITIES

← 1 2 →