Selecting nonlinear transformations for the evaluation of improper integrals

Abstract

Recent lit erature concerning the use of nonlinear transformations to evaluate numeri ca lly certain improper integral s of the first kind involves the determination of a transformation function g to im· prove the approxim ation. By approximating a given integrandIby an integrab le fun c tion II and then determining an associated g function for II , a nonlinear transformation may be constructe d which will yie ld an improved a pproximation of the improper integral of;: