THE RATE OF CONVERGENCE OF q-BERNSTEIN–STANCU POLYNOMIALS

DOI10.1142/S0219691309003215zbMath1220.41001OpenAlexW2157580682MaRDI QIDQ5189975

Yanjie Jiang, Junming Li

Publication date: 11 March 2010

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691309003215

zbMATH Keywords

rate of convergencepositive linear operatorsVoronovskaya-type theorem\(q\)-Bernstein-Stancu polynomials

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Approximation by positive operators (41A36)

Cites Work

• Convergence of generalized Bernstein polynomials
• Voronovskaya-type formulas and saturation of convergence for \(q\)-Bernstein polynomials for \(0 < q < 1\)
• \(q\)-Bernstein polynomials and their iterates.
• Approximation properties for generalized \(q\)-Bernstein polynomials
• The rate of convergence of \(q\)-Bernstein polynomials for \(0<q<1\)
• The convergence ofq-Bernstein polynomials (0 <q< 1) in the complex plane

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