\(K_a\)-convergence and Korovkin type approximation

DOI10.1007/s10998-017-0225-9zbMath1424.41045OpenAlexW2762652107MaRDI QIDQ1669689

Kamil Demirci, Sevda Orhan

Publication date: 3 September 2018

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-017-0225-9

zbMATH Keywords

positive linear operatoralmost convergencestatistical convergenceKorovkin theorem\(K_a\)-convergence

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Ideal and statistical convergence (40A35)

Related Items (2)

On new Bézier bases with Schurer polynomials and corresponding results in approximation theory ⋮ Approximation via statistical $K_{a}^{2}$-convergence on two-dimensional weighted spaces

Cites Work

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• Generalized limits and statistical convergence
• Abstract Korovkin-type theorems in modular spaces and applications
• Statistical approximation by positive linear operators on modular spaces
• Some approximation theorems via statistical convergence.
• On almost convergent and statistically convergent subsequences
• A contribution to the theory of divergent sequences
• Some Korovkin type results via power series method in modular spaces
• Positive linear operators and summability
• Quality control by sampling
• Sur la convergence statistique

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