The uniform convergence of a double sequence of functions at a point and Korovkin-type approximation theorems

DOI10.1515/GMJ-2020-2075zbMath1472.41002OpenAlexW3094121078MaRDI QIDQ2048242

Fadime Dirik, Ana-Maria Acu, Sevda Yıldız, Kamil Demirci

Publication date: 5 August 2021

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2020-2075

zbMATH Keywords

rate of convergencedouble sequenceKorovkin theoremuniform convergence at a point

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Approximation by polynomials (41A10) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (1)

Approximation via statistical relative uniform convergence of sequences of functions at a point with respect to power series method

Cites Work

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• Statistically relatively uniform convergence of positive linear operators
• Korovkin-type theorems for abstract modular convergence
• Relative modular convergence of positive linear operators
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• Triangular \(A\)-statistical approximation by double sequences of positive linear operators
• Some approximation theorems via statistical convergence.
• Statistical relatively equal convergence and Korovkin-type approximation theorem
• Relative uniform convergence of a sequence of functions at a point and Korovkin-type approximation theorems
• Approximation in statistical sense to B -continuous functions by positive linear operators
• Uniform convergence of a sequence of functions at a point

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