A comparative study of Gauss‒Laguerre quadrature and an open type mixed quadrature by evaluating some improper integrals

Authors

PRITIKANTA PATRA
DEBASISH DAS
RAJANI BALLAV DASH

DOI

10.3906/mat-1610-57

Abstract

An open type mixed quadrature rule is constructed blending the anti-Gauss 3-point rule with Steffensen's 4-point rule. The analytical convergence of the mixed rule is studied. An adaptive integration scheme is designed based on the mixed quadrature rule. A comparative study of the mixed quadrature rule and the Gauss‒Laguerre quadrature rule is given by evaluating several improper integrals of the form $\int\limits_{0}^{\infty}e^{-x}f(x)dx$. The advantage of implementing mixed quadrature rule in developing an efficient adaptive integration scheme is shown by evaluating some improper integrals.

Keywords

Anti-Gaussian quadrature rule, mixed quadrature rule, adaptive integration scheme, improper integrals, Steffensen's quadrature, Gauss‒Laguerre quadrature

First Page

293

Last Page

306

Recommended Citation

PATRA, PRITIKANTA; DAS, DEBASISH; and DASH, RAJANI BALLAV (2018) "A comparative study of Gauss‒Laguerre quadrature and an open type mixed quadrature by evaluating some improper integrals," Turkish Journal of Mathematics: Vol. 42: No. 1, Article 24. https://doi.org/10.3906/mat-1610-57
Available at: https://journals.tubitak.gov.tr/math/vol42/iss1/24