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http://dx.doi.org/10.4134/JKMS.2006.43.2.413

APPROXIMATION BY INTERPOLATING POLYNOMIALS IN SMIRNOV-ORLICZ CLASS  

Akgun Ramazan (Department of Mathematics Faculty of Art-Science Balikesir University)
Israfilov Daniyal M. (Department of Mathematics Faculty of Art-Science Balikesir University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.2, 2006 , pp. 413-424 More about this Journal
Abstract
Let $\Gamma$ be a bounded rotation (BR) curve without cusps in the complex plane $\mathbb{C}$ and let G := int $\Gamma$. We prove that the rate of convergence of the interpolating polynomials based on the zeros of the Faber polynomials $F_n\;for\;\bar G$ to the function of the reflexive Smirnov-Orlicz class $E_M (G)$ is equivalent to the best approximating polynomial rate in $E_M (G)$.
Keywords
curves of bounded rotation; Faber polynomials; interpolating polynomials; Smirnov-Orlicz class; Orlicz space; Cauchy singular operator;
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Times Cited By Web Of Science : 6  (Related Records In Web of Science)
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