The Rate of Approximation by Rational Bernstein Functions in Terms of Second Order Moduli of Continuity

DOI10.1080/01630563.2011.629313zbMath1244.41002OpenAlexW2140808902MaRDI QIDQ2881900

Gancho T. Tachev

Publication date: 3 May 2012

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2011.629313

zbMATH Keywords

Bernstein operatormoduli of continuityrational Bernstein functionsweight numbers

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

Convergence of rational Bernstein operators ⋮ Weighting Shepard-type operators ⋮ On a new sequence of positive linear operators related to squared Bernstein polynomials

Cites Work

• Linear precision of rational Bézier curves
• A family of univariate rational Bernstein operators
• Convergence of subdivision and degree elevation

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