Title

Exact lower and upper bounds on the incomplete gamma function

Document Type

Article

Publication Date

2020

Department

Department of Mathematical Sciences

Abstract

Lower and upper bounds Ba(x) on the incomplete gamma function Γ(a,x) are given for all real a and all real x>0. These bounds Ba(x) are exact in the sense that Ba(x) ∼ Γ(a,x) x↓0 and Ba(x) ∼ Γ(a,x). Moreover, the relative errors of these bounds are rather small for other x→∞ values of x, away from 0 and ∞.

Publication Title

Mathematical Inequalities and Applications

Share

COinS