Approximation and shape-preserving properties of q-Stancu operator

DOI10.1007/S10496-011-0201-9zbMath1265.41047OpenAlexW2085754872MaRDI QIDQ2916308

Lianying Yun, Rongwei Wang

Publication date: 5 October 2012

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

Full work available at URL: https://doi.org/10.1007/s10496-011-0201-9

zbMATH Keywords

shape-preserving propertysign change\(q\)-Stancu operator

Mathematics Subject Classification ID

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

Cites Work

• Convergence of generalized Bernstein polynomials
• On the improvement of analytic properties under the limit \(q\)-Bernstein operator
• Voronovskaya-type formulas and saturation of convergence for \(q\)-Bernstein polynomials for \(0 < q < 1\)
• Korovkin-type theorem and application
• Saturation of convergence for \(q\)-Bernstein polynomials in the case \(q\geqslant 1\)
• The rate of convergence of \(q\)-Bernstein polynomials for \(0<q<1\)
• Convexity and generalized Bernstein polynomials
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