zbMATH — the first resource for mathematics

Inequalities for the incomplete gamma and related functions. (English) Zbl 0916.33001
The authors offer lower and upper estimates for \(\int_{0}^{x}e^{t^{p}}dt\) and for the similar function with \(-t^{p}\) in the exponent, furthermore examples showing that these are not comparable to those found by H. Alzer (Math.Comp. 66, 771-778 (1997; Zbl 0865.33002).

33B20 Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals)
26D07 Inequalities involving other types of functions
26D15 Inequalities for sums, series and integrals
PDF BibTeX Cite
Full Text: DOI