Some Inequalities of the Incomplete Gamma and Related Functions

Feng Qi; Jia-Qiang Mei

doi:10.4171/zaa/914

JournalszaaVol. 18, No. 3pp. 793–799

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

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Abstract

In the article, many inequalities of the integrals

\int_{x}^{\infty} e^{- t^{p}} d t, \int_{0}^{x} e^{- t^{p}}, \int_{0}^{x} e^{t^{p}} d t

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