Open Access
June 2005 Rational approximation in Orlicz spaces on Carleson curves
Ali Guven, Daniyal M. Israfilov
Bull. Belg. Math. Soc. Simon Stevin 12(2): 223-234 (June 2005). DOI: 10.36045/bbms/1117805085

Abstract

We define some subclasses of Orlicz spaces of functions and establish here a direct theorem of the approximation theory by rational functions.

Citation

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Ali Guven. Daniyal M. Israfilov. "Rational approximation in Orlicz spaces on Carleson curves." Bull. Belg. Math. Soc. Simon Stevin 12 (2) 223 - 234, June 2005. https://doi.org/10.36045/bbms/1117805085

Information

Published: June 2005
First available in Project Euclid: 3 June 2005

zbMATH: 1100.30031
MathSciNet: MR2179965
Digital Object Identifier: 10.36045/bbms/1117805085

Subjects:
Primary: 30E10 , 41A10 , 41A20
Secondary: 41A25 , 46E30

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

Rights: Copyright © 2005 The Belgian Mathematical Society

Vol.12 • No. 2 • June 2005
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