Some new applications of truncated Gauss-Laguerre quadrature formulas

Abstract

We show how truncated Gauss-Laguerre quadrature formulas can be used to produce accurate approximations and high rates of convergence, also when they are applied to integrand functions having only an algebraic type decay to zero at infinity. The approach presented in the paper is proposed for the computation of integrals and for the construction of Nystrom type interpolants for some second kind integral equations.