Approximation theorems for generalized complex Kantorovich-type operators

DOI10.1155/2012/454579zbMath1252.30023DBLPjournals/jam/MahmudovK12OpenAlexW2089550756WikidataQ58905905 ScholiaQ58905905MaRDI QIDQ1760694

Nazim Idris Mahmudov, Mustafa Kara

Publication date: 15 November 2012

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

Full work available at URL: https://doi.org/10.1155/2012/454579

zbMATH Keywords

approximationKantorovich polynomialsanalytic functions on disks

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Related Items (9)

Approximation by \(q\)-Durrmeyer type polynomials in compact disks in the case \(q > 1\) ⋮ The \(q\)-Bernstein polynomials of the Cauchy kernel with a pole on \([0,1\) in the case \(q>1\)] ⋮ Approximation theorems for complex \(\alpha\)-Bernstein-Kantorovich operators ⋮ Evaluation of norm of \((p,q)\)-Bernstein operators ⋮ Approximation by genuine \(q\)-Bernstein-Durrmeyer polynomials in compact disks in the case \(q > 1\) ⋮ Approximation by \((p,q)\)-Lorentz polynomials on a compact disk ⋮ Approximation properties of weighted Kantorovich type operators in compact disks ⋮ Chlodowsky-type \(q\)-Bernstein-Stancu-Kantorovich operators ⋮ Approximation by the complex form of a link operator between the Phillips and the Szász-Mirakjan operators

Cites Work

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• Approximation by Bernstein-Durrmeyer-type operators in compact disks
• Convergence properties and iterations for q-stancu polynomials in compact disks
• Approximation by complex genuine durrmeyer type polynomials in compact disks
• Approximation by complex Bernstein-Durrmeyer polynomials in compact disks
• Approximation by complex Bernstein-Schurer and Kantorovich-Schurer polynomials in compact disks
• The saturation of convergence on the interval [0,1 for the \(q\)-Bernstein polynomials in the case \(q>1\)]
• \(q\)-Bernstein polynomials and their iterates.
• Approximation by genuine Durrmeyer-Stancu polynomials in compact disks
• Saturation of convergence for \(q\)-Bernstein polynomials in the case \(q\geqslant 1\)
• Voronovskaja's theorem and iterations for complex Bernstein polynomials in compact disks
• The sharpness of convergence results for q-Bernstein polynomials in the case q > 1

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