Approximation by complex Bernstein-Durrmeyer polynomials in compact disks

DOI10.1007/s00009-010-0036-1zbMath1207.30055OpenAlexW2020614328MaRDI QIDQ619624

George A. Anastassiou, Sorin Gheorghe Gal

Publication date: 25 January 2011

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0036-1

zbMATH Keywords

simultaneous approximationVoronovskaja-type resultcomplex Bernstein-Durrmeyer polynomials

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Rate of convergence, degree of approximation (41A25)

Related Items (20)

Approximation by \(q\)-Durrmeyer type polynomials in compact disks in the case \(q > 1\) ⋮ Approximation by complex genuine durrmeyer type polynomials in compact disks ⋮ Approximation by genuine Durrmeyer-Stancu polynomials in compact disks ⋮ Approximation by complex \(q\)-Durrmeyer polynomials in compact disks ⋮ Approximation by complex \(q\)-modified Bernstein-Schurer operators on compact disks ⋮ Approximation by complex beta operators of first kind in strips of compact disks ⋮ Approximation theorems for complex \(\alpha\)-Bernstein-Kantorovich operators ⋮ Approximation properties of complex genuine α–Bernstein‐Durrmeyer operators ⋮ Quantitative estimates for a new complex Durrmeyer operator in compact disks ⋮ Approximation by complex Favard-Szász-Mirakjan-Stancu operators in compact disks ⋮ Approximation by genuine \(q\)-Bernstein-Durrmeyer polynomials in compact disks in the case \(q > 1\) ⋮ Approximation by a complex \(q\)-Durrmeyer type operator ⋮ Approximation by Durrmeyer type Bernstein-Stancu polynomials in movable compact disks ⋮ Approximation by complex Baskakov-Stancu operators in compact disks ⋮ Approximation by Bernstein-Durrmeyer-type operators in compact disks ⋮ Approximation by certain integrated Bernstein-type operator in compact disks ⋮ Approximation theorems for generalized complex Kantorovich-type operators ⋮ Approximation by a Durrmeyer-type operator in compact disks ⋮ Approximation by bicomplex beta operators in compact ‐disks ⋮ On approximation of certain integral operators

Cites Work

• Approximation by complex Bernstein-stancu polynomials in compact disks
• Approximation by complex Bernstein-Schurer and Kantorovich-Schurer polynomials in compact disks
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Voronovskaja's theorem and iterations for complex Bernstein polynomials in compact disks
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