Bernstein-Schoenberg operator with knots at the \(p\)-integers

DOI10.1016/j.mcm.2011.12.049zbMath1255.41003OpenAlexW1972926660MaRDI QIDQ1931074

Gülter Budakçı, Halil Oruç

Publication date: 24 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.12.049

zbMATH Keywords

B-spline\(q\)-integerMarsden's identityBernstein-Schoenberg operator

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Spline approximation (41A15)

Related Items (2)

An alternative distribution function estimation method using rational Bernstein polynomials ⋮ Generating functions for B-splines with knots in geometric or affine progression

Cites Work

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• \(B\)-splines with geometric knot spacings
• Interpolation and approximation by polynomials
• \(q\)-Bernstein polynomials and Bézier curves
• An identity for spline functions with applications to variation diminishing spline approximation
• On calculating with B-splines
• A property of Bernstein-Schoenberg spline operators
• A survey of results on the q-Bernstein polynomials

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