Forming a mixed quadrature rule using an anti-gaussian quadrature rule Singh Bibhu Prasad1,*, Dr. Dash Rajani Ballav2 1Institute of Mathematics and Application, Andharua, Bhubaneswar, Odisha, India, E-mail: bpsmath78@gmail.com 2Ex Reader in Mathematics, Ravenshaw University, Cuttack, Odisha, India. E-mail: rajani_bdash@rediffmail.com *Corresponding Author: Bibhu Prasad Singh, Institute of Mathematics and Application, Andharua, Bhubaneswar, Odisha, 751003, India, E-mail: bpsmath78@gmail.com
2000 Mathematics Subject Classification: 65D30, 65D32 Online published on 16 January, 2018. Abstract A mixed quadrature rule of higher precision for approximate evaluation of real definite integrals has been constructed using an anti-Gaussian rule. The analytical convergence of the rule has been studied. The relative efficiency of the mixed quadrature rule has been shown with the help of suitable test integrals. The error bounds have been determined asymptotically. Top Keywords Gauss Legendre three point rule, Anti-Gaussian four point rule, Lobatto four point rule, Mixed quadrature rule, Error analysis. Top |