\(q\)-Szász-Mirakjan operators which preserve \(x^{2}\)

DOI10.1016/j.cam.2010.03.031zbMath1218.41011OpenAlexW2087806014MaRDI QIDQ555136

Nazim Idris Mahmudov

Publication date: 22 July 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.03.031

zbMATH Keywords

modulus of continuityKorovkin type approximation theoremVoronovskaya type theorem\(q\)-Szász-Mirakjan operators

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items

Quantitative \(q\)-Voronovskaya and \(q\)-Grüss-Voronovskaya-type results for \(q\)-Szász operators, Approximation by a kind of complex modified \(q\)-Durrmeyer type operators in compact disks, Approximation of \(q\)-Stancu-Beta operators which preserve \(x^2\), On a modification of \((p,q)\)-Szász-Mirakyan operators, On the generalized Szász-Mirakyan operators, Statistical Approximation of the q-Bernstein-Durrmeyer Type Operators, Weighted Statistical Approximation Properties of the q-Phillips Operators, On sequences of J. P. King-type operators, Dunkl generalization of q-Szász-Mirakjan operators which preserve x2

Cites Work

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• Korovkin-type approximation theory and its applications
• Positive linear operators which preserve \(x^2\)
• On uniform approximation by some classical Bernstein-type operators.
• Szász-Mirakjan type operators providing a better error estimation
• Weighted simultaneous approximation with Baskakov type operators
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