An inequality for the product of two integrals relating to the incomplete gamma function

被引：16

作者：

Elbert, A

Laforgia, A

机构：

[1] Dept Math, I-00146 Rome, Italy

[2] Hungarian Acad Sci, Inst Math, H-1364 Budapest, Hungary

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2000年 / 5卷 / 01期

关键词：

inequalities; gamma function; incomplete gamma function;

D O I：

10.1155/S1025583400000035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The inequality integral(0)(x) e(tp) dt . integral(x)(infinity) e(-tp) dt < 1/4 is proved for p > 1.87705... and x greater than or equal to 0, and new inequalities are established for the integrals integral(0)(x) e(-tp) dt and integral(0)(x) e(-tp) dt, p > 1.

引用

页码：39 / 51

页数：13