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Approximation by interpolating polynomials in Smirnov-Orlicz class

Daniyal M. Israfilov|Ramazan Akg\
대한수학회 (The Korean Mathematical Society)|2006.03|대한수학회지 (Journal of the KMS)|제43권 제2호|pp. 413-424

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Abstract

Let $\Gamma $ be a bounded rotation (BR) curve without cusps in the complex plane $\mathbb{C}$ and let $G:=\operatorname{int}\Gamma $. We prove that the rate of convergence of the interpolating polynomials based on the zeros of the Faber polynomials $F_{n}$ for $\overline{G}$ to the function of the reflexive Smirnov-Orlicz class $E_{M}\left( G\right) $ is equivalent to the best approximating polynomial rate in $E_{M}\left( G\right) $.

참고문헌 (17)

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