Title of article :
APPROXIMATION BY INTERPOLATING POLYNOMIALS IN WEIGHTED SYMMETRIC SMIRNOV SPACES
Author/Authors :
Akgun, Ramazan Balikesir University - Faculty of Science and Literature - Department of Mathematics, Turkey , Koc, Huseyin Balikesir University - Institute of Science - Department of Mathematics, Turkey
Abstract :
Let Г⊂C be a closed BR curve without cusps. In this work approximation by complex interpolating polynomials in a Weighted Symmetric Smirnov Space is studied. It is proved that the convergence rate of complex interpolating polynomials and the convergence rate of best approximating algebraic polynomials are the same in the norm of Symmetric Smirnov Spaces.
Keywords :
Curve of bounded rotation , Faber polynomials , Interpolating polynomial , Symmetric Smirnov space , Cauchy singular operator.
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics
