Four-dimensional matrix transformation and the rate of \(A\)-statistical convergence of continuous functions

DOI10.1016/j.camwa.2010.02.015zbMath1193.41029OpenAlexW2087793103MaRDI QIDQ988272

Fadime Dirik, Kamil Demirci

Publication date: 26 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.02.015

zbMATH Keywords

rates of \(A\)-statistical convergence for double sequencesregularity for double sequencesA Korovkin-type approximation theorem

Mathematics Subject Classification ID

Approximation by positive operators (41A36) Summability methods using statistical convergence (40G15)

Related Items

Approximation of matrix-valued functions via statistical convergence with respect to power series methods, Modularly weighted four dimensional matrix summability with application to Korovkin type approximation theorem, Four-dimensional matrix transformation and rate of A-statistical convergence of periodic functions, Four-dimensional matrix transformation and A-statistical fuzzy Korovkin type approximation

Cites Work

• \(A\)-statistical extension of the Korovkin type approximation theorem
• Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials
• Korovkin-type approximation theory and its applications
• The approximation of continuous functions by positive linear operators
• Statistical convergence of double sequences
• Statistical convergence of multiple sequences
• Statistical rates on the multivariate approximation theory
• Equi-statistical convergence of positive linear operators
• A Baskakov type generalization of statistical Korovkin theory
• A-Statistical convergence of approximating operators
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