Generalized Voronovskaja theorem for \(q\)-Bernstein polynomials

DOI10.1016/j.amc.2014.08.048zbMath1338.33027OpenAlexW2027682135MaRDI QIDQ297627

Zoltán Finta

Publication date: 17 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.08.048

zbMATH Keywords

modulus of continuityVoronovskaja theorem\(q\)-integers\(q\)-Bernstein polynomialsfloater theorem

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (1)

Approximation of functions by a new family of generalized Bernstein operators

Cites Work

• On the convergence of derivatives of Bernstein approximation
• New estimates in Voronovskaja's theorem
• The moments for \(q\)-Bernstein operators in the case \(0<q<1\)
• General Voronovskaya and asymptotic theorems in simultaneous approximation
• Interpolation and approximation by polynomials
• Voronovskaja's theorem revisited
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