Statistical \(L_p\)-approximation by double Gauss-Weierstrass singular integral operators

DOI10.1016/j.camwa.2009.12.001zbMath1189.41015OpenAlexW1971220030MaRDI QIDQ980120

Oktay Duman, George A. Anastassiou

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.12.001

zbMATH Keywords

statistical approximation\(A\)-statistical convergenceGauss-Weierstrass singular integral operators

Mathematics Subject Classification ID

Stochastic approximation (62L20) Integral operators (45P05) Approximation by positive operators (41A36)

Related Items (3)

On Some Bivariate Gauss-Weierstrass Operators ⋮ L_p -general approximations by multivariate singular integral operators ⋮ Statistical convergence of double-complex Picard integral operators

Cites Work

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• Statistical approximation by generalized Meyer-König and Zeller type operators
• A Korovkin type approximation theorem in statistical sense
• Convergence of generalized singular integrals to the unit, univariate case
• On integral type generalizations of positive linear operators
• Sur la convergence statistique

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