Statistical approximation to Bögel-type continuous and periodic functions

DOI10.2478/S11533-009-0025-4zbMath1179.41011OpenAlexW2050263131MaRDI QIDQ1040230

Fadime Dirik, Oktay Duman, Kamil Demirci

Publication date: 24 November 2009

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-009-0025-4

zbMATH Keywords

Korovkin theoremregularity for double sequences\(B\)-continuous functions\(A\)-statistical convergence for double sequences\(B-2\pi \)-periodic functions

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (2)

Approximation via statistical convergence in the sense of power series method of Bögel-type continuous functions ⋮ Quantitative estimates for GBS operators of Chlodowsky-Szász type

Cites Work

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• Über die mehrdimensionale Differentiation
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• 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
• Transformations of multiple sequences
• A test function theorem and apporoximation by pseudopolynomials
• STATISTICAL APPROXIMATION FOR PERIODIC FUNCTIONS

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