Approximation of analytic functions in adaptive environment

Saumya Ranjan Jena, Kumudini Meher, Arjun Kumar Paul
2016 Beni-Suef University Journal of Basic and Applied Sciences  
In this paper, a mixed quadrature rule of degree of precision seven is formed for analytic functions by taking two constituent rules each of degree of precision five. Here the integral of analytic function is converted to real definite integrals with the help of double transformations. Then the mixed quadrature rule is tested in adaptive environment and it is obviously superior to that of Gauss-Legendre three-point rule. © 2016 Beni-Suef University. Production and hosting by Elsevier B.V. This
more » ... Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/bync-nd/4.0/). Keywords: Analytic functions Mixed quadrature rule Degree of precision Error bound Adaptive quadrature
doi:10.1016/j.bjbas.2016.10.001 fatcat:audq3szynzbz5atlk6a3rzl2lm