Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains

Author:

Farouki Rida T.,Goodman T.N.T.,Sauer Thomas

Publisher

Elsevier BV

Subject

Computer Graphics and Computer-Aided Design,Aerospace Engineering,Automotive Engineering,Modelling and Simulation

Reference33 articles.

1. Fonctions Hypergéometriques at Hypersphériques—Polynômes d'Hermite;Appell,1926

2. Orthogonal Polynomials and Special Functions;Askey,1975

3. Note on orthogonal polynomials in ν-variables;Bertran;SIAM J. Math. Anal.,1975

4. Interpolation and Approximation;Davis,1975

5. On multivariate approximation by Bernstein-type polynomials;Derriennic;J. Approx. Theory,1985

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1. Better Uniform Approximation by New Bivariate Bernstein Operators;International Journal of Analysis and Applications;2022-11-07

2. Bounds-constrained polynomial approximation using the Bernstein basis;Numerische Mathematik;2022-08-20

3. Unisolvency for Polynomial Interpolation in Simplices with Symmetrical Nodal Distributions;Journal of Scientific Computing;2022-07-02

4. A novel high-performance quadrature rule for BEM formulations;Engineering Analysis with Boundary Elements;2022-07

5. Bivariate Generalized Shifted Gegenbauer Orthogonal System;Journal of Mathematics;2021-03-31

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