On approximation in weighted Smirnov–Orlicz classes

DOI10.1080/17476933.2010.551194zbMath1254.30043OpenAlexW1996303144MaRDI QIDQ5891607

Sadulla Z. Jafarov

Publication date: 18 June 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2010.551194

zbMATH Keywords

polynomial approximationBoyd indicesSmirnov-Orlicz classCauchy 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) Rate of convergence, degree of approximation (41A25)

Related Items

Approximation of functions by de la Vallée-Poussin sums in weighted Orlicz spaces ⋮ Linear methods for summing Fourier series and approximation in weighted Lebesgue spaces with variable exponents ⋮ Unnamed Item ⋮ Approximation of the functions in weighted Lebesgue spaces with variable exponent ⋮ Unnamed Item ⋮ Linear methods of summing Fourier series and approximation in weighted Orliczspaces ⋮ Simultaneous approximation of functions in Orlicz spaces with Muckenhoupt weights ⋮ Approximation by trigonometric polynomials in rearrangement invariant quasi Banach function spaces ⋮ Approximation in weighted rearrangement invariant Smirnov spaces ⋮ On approximation of functions byp–Faber-Laurent rational functions ⋮ Approximation in weighted Smirnov classes ⋮ Simultaneous approximation properties of de la Vallée-Poussin means in weighted Orlicz spaces

Cites Work

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• Approximation and moduli of fractional order in Smirnov-Orlicz classes
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• APPROXIMATION BY INTERPOLATING POLYNOMIALS IN SMIRNOV-ORLICZ CLASS
• Approximation by trigonometric polynomials in weighted Orlicz spaces
• Indices of Function Spaces and their Relationship to Interpolation
• Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials