Approximation of analytic functions by generalized Favard-Szász-Mirakjan-Faber operators in compact sets

DOI10.1007/s11785-014-0383-1zbMath1323.30045OpenAlexW2075291098MaRDI QIDQ2350878

Sorin Gheorghe Gal

Publication date: 25 June 2015

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

Full work available at URL: https://doi.org/10.1007/s11785-014-0383-1

zbMATH Keywords

order of approximationFaber polynomialsFavard-Szasz-Mirakjan-Faber operator

Mathematics Subject Classification ID

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

Related Items (4)

Approximation of analytic functions with an arbitrary order by generalized Baskakov-Faber operators in compact sets ⋮ Approximation with an arbitrary order by modified Baskakov type operators ⋮ Approximation Under Exponential Growth Conditions by Szász and Baskakov Type Operators in the Complex Plane ⋮ Approximation by Bernstein–Faber–Walsh and Szász–Mirakjan–Faber–Walsh Operators in Multiply Connected Compact Sets of ℂ $$\mathbb{C}$$

Cites Work

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• Voronovskaja-type results in compact disks for quaternion \(q\)-Bernstein operators, \(q\geq 1\)
• Approximation properties by Bernstein-Durrmeyer type operators
• Approximation and geometric properties of complex Favard-Szász-Mirakjan operators in compact disks
• Approximation by complex \(q\)-Szász-Kantorovich operators in compact disks, \(q>1\)
• Convergence of extended Bernstein polynomials in the complex plane
• Overconvergence in Complex Approximation
• Generalization of Bernstein's polynomials to the infinite interval
• Approximation by complex modified Szász-Mirakjan operators

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