Korovkin-type approximation theorem for double sequences of positive linear operators via statistical \(A\)-summability

DOI10.1007/s00025-011-0140-yzbMath1261.40005OpenAlexW2029821016MaRDI QIDQ1936905

Sevda Karakuş, Kamil Demirci

Publication date: 8 February 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0140-y

zbMATH Keywords

positive linear operatorstatistical convergenceKorovkin theoremstatistical \(A\)-summability

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Summability methods using statistical convergence (40G15)

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Cites Work

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• The approximation of continuous functions by positive linear operators
• Tauberian theorems for double sequences that are statistically summable \((C,1,1)\)
• Some approximation theorems via statistical convergence.
• Statistical convergence of double sequences
• Statistical convergence of multiple sequences
• Equi-statistical convergence of positive linear operators
• Transformations of multiple sequences
• A Method for Obtaining Polynomials of Bernstein type of two Variables

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