Note on a Korovkin-type theorem

DOI10.1016/j.jmaa.2014.02.010zbMath1312.41029OpenAlexW1999774939MaRDI QIDQ2338891

Zoltán Finta

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.02.010

zbMATH Keywords

Korovkin type theoremfirst order Ditzian-Totik modulus of smoothness\(q\)-Bernstein type operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Inverse theorems in approximation theory (41A27)

Related Items (4)

The \(q\)-versions of the Bernstein operator: from mere analogies to further developments ⋮ Quantitative estimates for positive linear operators in terms of the usual second modulus ⋮ Korovkin type theorem for sequences of operators depending on a parameter ⋮ Smoothness Properties of Modified Bernstein-Kantorovich Operators

Cites Work

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• Shape preserving properties of generalized Bernstein operators on extended Chebyshev spaces
• Local and global approximation theorems for positive linear operators
• Positive linear operators which preserve \(x^2\)
• Korovkin-type theorem and application
• New properties of King's operators
• On the Lupaş \(q\)-analogue of the Bernstein operator
• Approximation properties for generalized \(q\)-Bernstein polynomials
• Approximation by q-Bernstein type operators
• A generalization of the Bernstein polynomials
• MKZ Type Operators Providing a Better Estimation on [1/2, 1)
• Generalized Bernstein polynomials

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