Four-dimensional matrix transformation and rate of A-statistical convergence of periodic functions

DOI10.1016/J.MCM.2010.07.015zbMath1205.41017OpenAlexW2035860335MaRDI QIDQ623098

Kamil Demirci, Fadime Dirik

Publication date: 13 February 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.07.015

zbMATH Keywords

\(2\pi \)-periodic and real valued continuous functionsKorovkin type-approximation theoremrates of \(A\)-statistical convergence for double sequencesregularity for double sequences

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Ideal and statistical convergence (40A35)

Related Items (10)

Approximation Properties For Modifiedq-Bernstein-Kantorovich Operators ⋮ Statistical approximation for new positive linear operators of Lagrange type ⋮ An extension of Korovkin theorem via power series method ⋮ Approximation via statistical convergence in the sense of power series method of Bögel-type continuous functions ⋮ Korovkin second theorem via \(B\)-statistical \(A\)-summability ⋮ Statistical approximation for periodic functions of two variables ⋮ Some approximation results for generalized Kantorovich-type operators ⋮ Approximation properties for King's type modified q -Bernstein-Kantorovich operators ⋮ Approximation of continuous periodic functions of two variables via power series methods of summability ⋮ \(P\)-statistical summation process of sequences of convolution operators

Cites Work

• Unnamed Item
• Unnamed Item
• \(A\)-statistical extension of the Korovkin type approximation theorem
• Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials
• Four-dimensional matrix transformation and the rate of \(A\)-statistical convergence of continuous functions
• Statistical fuzzy approximation by fuzzy positive linear operators
• Some approximation theorems via statistical convergence.
• Statistical convergence of double sequences
• Statistical convergence of multiple sequences
• Statistical rates on the multivariate approximation theory
• Approximation of continuous periodic functions via statistical convergence
• Regular matrix transformations and rates of convergence of positive linear operators
• A Baskakov type generalization of statistical Korovkin theory
• A-Statistical convergence of approximating operators
• STATISTICAL APPROXIMATION FOR PERIODIC FUNCTIONS

This page was built for publication: Four-dimensional matrix transformation and rate of A-statistical convergence of periodic functions