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Computational Methods and Function Theory 2 (2002), No. 2, 509--517
Copyright Heldermann Verlag 2002

Polynomial Approximation in Smirnov-Orlicz Classes

Ali Guven
aliguven@sci.ege.edu.tr, Department of Mathematics, Faculty of Science, Ege University, 35100 Izmir, Turkey.

Daniyal M. Israfilov
mdaniyal@balikesir.edu.tr, Department of Mathematics, Faculty of Art-Science, Balikesir University, 10100 Balikesir, Turkey.

[Abstract-pdf] [Abstract-ps]
We prove a direct theorem for polynomial approximation of functions in certain subclasses of Smirnov-Orlicz classes.

Keywords: Carleson curve, Cauchy singular operator, Faber polynomials, Orlicz space, Smirnov-Orlicz class.

MSC 2000: Primary 30E10, 41A10; Secondary 41E10, 46E30.

[FullText-pdf (304 K)] [FullText-ps (244 K)]