Bernstein-type operators on a triangle with one curved side

DOI10.1007/s00009-011-0156-2zbMath1258.41009OpenAlexW2022171498MaRDI QIDQ1762386

Petru Blaga, Teodora Cătinaş, Gheorghe Coman

Publication date: 23 November 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-011-0156-2

zbMATH Keywords

Bernstein operatormodulus of continuityerror evaluationdegree of exactnessproduct and Boolean sum operators

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36) Remainders in approximation formulas (41A80)

Related Items (6)

Bivariate Bernstein polynomials that reproduce exponential functions ⋮ Shape preserving properties of \((\mathfrak{p},\mathfrak{q})\) Bernstein Bèzier curves and corresponding results over \([a,b\)] ⋮ Bernstein-type operators on a triangle with all curved sides ⋮ Iterates of Bernstein type operators on a triangle with all curved sides ⋮ Nielson interpolation operators on an arbitrary triangle with one curved side ⋮ Extension of Some Generalized Hermite-Type Interpolation Operators to the Triangle with One Curved Side

Cites Work

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• \({\mathcal C}^ 1\)-curved finite elements with numerical integration for thin plate and thin shell problems. II: Approximation of thin plate and thin shell problems
• Error bounds for smooth interpolation in triangles
• A Method for Obtaining Polynomials of Bernstein type of two Variables
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