Glasnik Matematicki, Vol. 40, No.1 (2005), 87-102.

APPROXIMATION IN SMIRNOV-ORLICZ CLASSES

Daniyal M. Israfilov, Burcin Oktay and Ramazan Akgun

Department of Mathematics, Faculty of Arts and Sciences, Balikesir University, 10100 Balikesir, Turkey
e-mail: mdaniyal@balikesir.edu.tr
e-mail: burcin@balikesir.edu.tr
e-mail: rakgun@balikesir.edu.tr

Abstract.   We use the approximation properties of the Faber polynomials to obtain some direct theorems of the polynomial approximation in Smirnov-Orlicz classes.

2000 Mathematics Subject Classification.   30E10, 41A10, 41A20, 41A25, 46E30.

Key words and phrases.   Dini-smooth curve, Smirnov-Orlicz classes, polynomial approximation, Faber polynomials, maximal convergence.

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DOI: 10.3336/gm.40.1.09

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