Statistical convergence of double-complex Picard integral operators

DOI10.1016/j.aml.2010.03.021zbMath1195.65221OpenAlexW2053713370MaRDI QIDQ979156

George A. Anastassiou, Oktay Duman

Publication date: 25 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.aml.2010.03.021

zbMATH Keywords

statistical convergencestatistical approximationcomplex Picard integral operators

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral operators (45P05)

Related Items (4)

Singular approximation in polydiscs by summability process ⋮ Statistical approximation by double complex Gauss-Weierstrass integral operators ⋮ Statistical convergence of integral operators generated by a single kernel ⋮ L_p -general approximations by multivariate singular integral operators

Cites Work

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• Statistical \(L_p\)-approximation by double Gauss-Weierstrass singular integral operators
• Some approximation theorems via statistical convergence.
• Densities and summability
• A Baskakov type generalization of statistical Korovkin theory
• Geometric and approximation properties of some singular integrals in the unit disk
• Statistical approximation theorems by \(k\)-positive linear operators
• Sur la convergence statistique

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