Polynomial approximation in Smirnov-Orlicz classes

DOI10.1007/BF03321862zbMath1048.30023MaRDI QIDQ1880916

Ali Guven, Daniyal M. Israfilov

Publication date: 27 September 2004

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

zbMATH Keywords

Faber polynomialsCarleson curveCauchy singular operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Approximation in the complex plane (30E10) Approximation by polynomials (41A10)

Related Items (8)

Approximating polynomials for functions of weighted Smirnov-Orlicz spaces ⋮ Unnamed Item ⋮ Approximation of periodic functions by Zygmund means in Orlicz spaces ⋮ Application of Faber polynomials to the approximate solution of the Riemann problem ⋮ Approximation by polynomials and rational functions in weighted rearrangement invariant spaces ⋮ Unnamed Item ⋮ Approximation in weighted rearrangement invariant Smirnov spaces ⋮ On rational approximation of functions in rearrangement invariant spaces

Cites Work

• On the degree of polynomial approximation in \(E^p(D)\)
• Algebras of Singular Integral Operators with Piecewise Continuous Coefficients on Reflexive Orlicz Spaces
• On analytic functions of Smirnov-Orlicz classes
• Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials
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