# Some Inequalities of the Incomplete Gamma and Related Functions

### Feng Qi

Jiaozuo Institute of Technology, Jiaozuo City, Henan, China### Jia-Qiang Mei

University of Science and Technology of China, Hefei City, Anhui, China

## Abstract

In the article, many inequalities of the integrals

$\int^{\infty}_x e^{–t^p} dt, \ \ \ \int^x_0 e^{–t^p}, \ \ \ \int^x_0 e^{t^p} dt$

for $p > 0$, which are related to the incomplete gamma function, are established. The approach used in the paper could yield more particular inequalities of the above functions. Some known results are generalized, extended or refined.

## Cite this article

Feng Qi, Jia-Qiang Mei, Some Inequalities of the Incomplete Gamma and Related Functions. Z. Anal. Anwend. 18 (1999), no. 3, pp. 793–799

DOI 10.4171/ZAA/914