Tbilisi Mathematical Journal

Approximation in weighted rearrangement invariant Smirnov spaces

Sadulla Z. Jafarov

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Abstract

In the present work, we investigate the approximation problems in weighted rearrangement invariant Smirnov spaces. We prove a direct theorem for polynomial approximation of functions in certain subclasses of weighted rearrangement invariant Smirnov spaces

Article information

Source
Tbilisi Math. J., Volume 9, Issue 1 (2016), 9-21.

Dates
Received: 25 February 2014
Accepted: 15 November 2015
First available in Project Euclid: 12 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1528769038

Digital Object Identifier
doi:10.1515/tmj-2016-0002

Mathematical Reviews number (MathSciNet)
MR3456780

Zentralblatt MATH identifier
1333.30051

Subjects
Primary: 30E10: Approximation in the complex domain
Secondary: 41A10: Approximation by polynomials {For approximation by trigonometric polynomials, see 42A10} 41A25: Rate of convergence, degree of approximation 46E30: Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Keywords
Conformal mapping weighted rearrangement Smirnov spaces Carleson curves Cauchy singular integral polynomial approximation modulus of smoothness

Citation

Jafarov, Sadulla Z. Approximation in weighted rearrangement invariant Smirnov spaces. Tbilisi Math. J. 9 (2016), no. 1, 9--21. doi:10.1515/tmj-2016-0002. https://projecteuclid.org/euclid.tbilisi/1528769038


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