Open AccessApproximation of analytic functions in adaptive environment
Author(s) -
Saumya Ranjan Jena,
Kumudini Meher,
Abhijit Paul
Publication year - 2016
Publication title -
beni-seuf university journal of basic and applied sciences /beni-suef university journal of basic and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2314-8543
pISSN - 2314-8535
DOI - 10.1016/j.bjbas.2016.10.001
Subject(s) - mathematics , computer science , calculus (dental) , medicine , dentistry
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