Shape-preserving properties of \(\omega ,q\)-Bernstein polynomials

DOI10.1016/j.laa.2008.09.022zbMath1166.41003OpenAlexW2086445793MaRDI QIDQ999777

He Ping Wang

Publication date: 10 February 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.09.022

zbMATH Keywords

totally positivevariation-diminishingconvexity-preservingmonotonicity-preserving\(\omega,q\)-Bernstein polynomials

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

The moments for \(q\)-Bernstein operators in the case \(0<q<1\)

Cites Work

• Dual generalized Bernstein basis
• The approximation of a totally positive band matrix by a strictly banded totally positive one
• Interpolation and approximation by polynomials
• Properties of convergence for \(\omega,q\)-Bernstein polynomials
• Generalized Bernstein polynomials
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