Approximation by polynomials and rational functions in weighted rearrangement invariant spaces

DOI10.1016/j.jmaa.2008.05.040zbMath1148.30030OpenAlexW2062415658MaRDI QIDQ936608

Daniyal M. Israfilov, Ramazan Akgün

Publication date: 19 August 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.040

zbMATH Keywords

Banach function spacePoisson integralmodulus of smoothnessDini-smooth curveconstructive characterizationBoyd interpolation theoremCauchy's singular integral

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05)

Related Items (12)

Exponential approximation in variable exponent Lebesgue spaces on the real line ⋮ On approximation of functions by rational functions in weighted generalized grand Smirnov classes ⋮ Approximation by rational functions in Smirnov classes with variable exponent ⋮ Approximating polynomials for functions of weighted Smirnov-Orlicz spaces ⋮ Approximation by Haar type polynomials in weighted rearrangement invariant spaces ⋮ 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 ⋮ Trigonometric approximation of functions in generalized Lebesgue spaces with variable exponent ⋮ On rational approximation of functions in rearrangement invariant spaces ⋮ Unnamed Item

Cites Work

• On the degree of polynomial approximation in \(E^p(D)\)
• Uniform approximation of functions in Jordan domains
• Carleson curves, Muckenhoupt weights, and Toeplitz operators
• Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces
• Über das Randverhalten der Ableitung der Abbildungsfunktion bei konformer Abbildung
• On the essential norm of the Cauchy singular integral operator in weighted rearrangement-invariant spaces
• Polynomial approximation in Smirnov-Orlicz classes
• Integrated Continuity Conditions and Degree of Approximation by Polynomials or by Bounded Analytic Functions
• Approximation by p-Faber-Laurent Rational Functions in the Weighted Lebesgue Spaces
• Approximation by trigonometric polynomials in weighted rearrangement invariant spaces
• Approximation in Smirnov-Orlicz classes
• APPROXIMATION BY INTERPOLATING POLYNOMIALS IN SMIRNOV-ORLICZ CLASS
• Spaces Between a Pair of Reflexive Lebesgue Spaces
• On analytic functions of Smirnov-Orlicz classes
• Weighted Norm Inequalities for the Hardy Maximal Function
• Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials
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