Approximation in compact sets by \(q\)-Stancu-Faber polynomials

DOI10.1016/j.camwa.2011.03.087zbMath1222.41008OpenAlexW2050948645MaRDI QIDQ640495

Sorin Gheorghe Gal

Publication date: 18 October 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.03.087

zbMATH Keywords

conformal mappingorder of approximationFaber polynomials\(q\)-Stancu-Faber polynomials\(q>1\)

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Other functions defined by series and integrals (33E20) Approximation by polynomials (41A10)

Related Items (7)

Approximation of analytic functions with an arbitrary order by generalized Baskakov-Faber operators in compact sets ⋮ Application of Faber polynomials to the approximate solution of a generalized boundary value problem of linear conjugation in the theory of analytic functions ⋮ Approximation properties of bivariate complex \(q\)-Balàzs-Szabados operators of tensor product kind ⋮ Chlodovsky type operators on parabolic domain ⋮ Approximation by Bernstein–Faber–Walsh and Szász–Mirakjan–Faber–Walsh Operators in Multiply Connected Compact Sets of ℂ $$\mathbb{C}$$ ⋮ Approximation by Jakimovski-Leviatan type operators on a complex domain ⋮ Application of Faber polynomials to the approximate solution of the Riemann problem

Cites Work

• Convergence properties and iterations for q-stancu polynomials in compact disks
• Explicit representations of Faber polynomials for \(m\)-cusped hypocycloids
• The zeros of Faber polynomials for an \(m\)-cusped hypocycloid
• The Faber polynomials for \(m\)-fold symmetric domains
• \(q\)-Bernstein polynomials and their iterates.
• The Faber polynomials for circular lunes
• Saturation of convergence for \(q\)-Bernstein polynomials in the case \(q\geqslant 1\)
• The Faber Polynomials for Circular Sectors
• On Faber Polynomials Generated by An m-Star
• The Faber Polynomials for Annular Sectors
• Expansion of analytic functions of an operator in series of Faber polynomials
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