APPROXIMATION BY INTERPOLATING POLYNOMIALS IN WEIGHTED SYMMETRIC SMIRNOV SPACES

Yıl 2012, Cilt: 41 Sayı: 5, 643 - 649, 01.05.2012

Ramazan Akgün Hüseyin Koç

Öz

APPROXIMATION BY INTERPOLATING POLYNOMIALS IN WEIGHTED SYMMETRIC SMIRNOV SPACES

Öz

Let Γ ⊂ 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.

Anahtar Kelimeler

Curve of bounded rotation, Faber polynomials, Interpolating polynomial, Symmetric Smirnov space, Cauchy singular operator

Kaynakça

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