Approximation of analytic functions without exponential growth conditions by complex Favard-Szász-Mirakjan operators

DOI10.1007/s12215-010-0028-9zbMath1207.30056OpenAlexW1964311087MaRDI QIDQ619609

Sorin Gheorghe Gal

Publication date: 25 January 2011

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-010-0028-9

zbMATH Keywords

Voronovskaja's theoremcomplex Favard-Szász-Mirakjan operatorsquantitative exact estimates

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Simultaneous approximation (41A28)

Related Items (8)

Unnamed Item ⋮ Chlodovsky type operators on parabolic domain ⋮ Approximation Under Exponential Growth Conditions by Szász and Baskakov Type Operators in the Complex Plane ⋮ Szasz-Schurer operators on a domain in complex plane ⋮ Approximation by complex Favard-Szász-Mirakjan-Stancu operators in compact disks ⋮ Approximation by complex \(q\)-Szász-Kantorovich operators in compact disks, \(q>1\) ⋮ Approximation by complex Baskakov-Stancu operators in compact disks ⋮ On Approximation Properties of Szász–Mirakyan Operators

Cites Work

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• Voronovskaja's theorem and iterations for complex Bernstein polynomials in compact disks
• Convergence of extended Bernstein polynomials in the complex plane
• Sur le multiplicateurs d'interpolation

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