Quantitative approximations by convolution polynomials in Bergman spaces

DOI10.1007/s11785-016-0601-0zbMath1390.30057OpenAlexW2532287592MaRDI QIDQ682078

Sorin Gheorghe Gal

Publication date: 13 February 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-016-0601-0

zbMATH Keywords

Bergman spacesapproximation by polynomials

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Bergman spaces and Fock spaces (30H20)

Related Items (5)

Density of polyanalytic polynomials in complex and quaternionic polyanalytic weighted Bergman spaces ⋮ Density of complex and quaternionic polyanalytic polynomials in polyanalytic Fock spaces ⋮ Approximation by convolution polyanalytic operators in the complex and quaternionic compact unit balls ⋮ Polynomial approximation in quaternionic Bloch and Besov spaces ⋮ Polynomial approximation in slice regular Fock spaces

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• On some approximation properties of real Hardy spaces \((0<p\leq 1)\)
• Jackson theorems in Hardy spaces and approximation by Riesz means
• Convolution-type integral operators in complex approximation
• Approximation by polynomials on quaternionic compact sets
• THEOREMS OF JACKSON TYPE IN $ H^p$, $ 0 < p < 1$

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