Simultaneous approximation of conformal mappings on smooth domains

DOI10.2298/FIL1901281KzbMath1499.30309OpenAlexW2990363298WikidataQ126640855 ScholiaQ126640855MaRDI QIDQ5080297

C. Koşar

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1901281k

zbMATH Keywords

Bieberbach polynomialsconformal mappingsimultaneous approximation

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Simultaneous approximation (41A28) Approximation by other special function classes (41A30)

Cites Work

• Convergence of Bieberbach polynomials in domains with quasiconformal boundary
• On the convergence of the Bieberbach polynomials in regions with corners
• Polynomial approximation of conformal maps
• Uniform convergence of the Bieberbach polynomials in closed smooth domains of bounded boundary rotation.
• Convergence of Bieberbach polynomials inside domains of the complex plane
• Approximation properties of the Bieberbach polynomials in closed Dini-smooth domains
• On the convergence of bieberbach polynomials in domains with interior zero angles
• ON THE CONVERGENCE OF BIEBERBACH POLYNOMIALS IN THE CASE OF A LIPSCHITZ DOMAIN
• SIMULTANEOUS APPROXIMATION OF THE RIEMANN CONFORMAL MAP AND ITS DERIVATIVES BY BIEBERBACH POLYNOMIALS
• An approximation of conformal mappings on smooth domains
• Convergence of Bieberbach polynomials in domains with interior cusps
• Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials
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