Korovkin type theorem for sequences of operators depending on a parameter

DOI10.1515/dema-2015-0027zbMath1321.41035OpenAlexW2531802338MaRDI QIDQ494014

Zoltán Finta

Publication date: 31 August 2015

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2015-0027

zbMATH Keywords

modulus of smoothnessKorovkin's theorem\(K\)-functionals\(q\)-integers\(q\)-Bernstein operators

Mathematics Subject Classification ID

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

Related Items (1)

APPROXIMATION THEOREMS FOR LIMIT $(p,q)-$BERNSTEIN-DURRMEYER OPERATOR

Cites Work

• Convergence of generalized Bernstein polynomials
• Korovkin-type theorem and application
• Note on a Korovkin-type theorem
• Some approximation properties of \(q\)-Durrmeyer operators
• The rate of convergence of \(q\)-Bernstein polynomials for \(0<q<1\)
• A generalization of the Bernstein polynomials
• Approximation theorems for q-Bernstein-Kantorovich operators
• Quantum calculus
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