Weighted dual functions for Bernstein basis satisfying boundary constraints

DOI10.1016/J.AMC.2007.10.006zbMath1143.65021OpenAlexW2031563136MaRDI QIDQ928065

Abedallah Rababah, Mohammad Al-Natour

Publication date: 11 June 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.10.006

zbMATH Keywords

numerical examplesdual basis

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Computation of special functions and constants, construction of tables (65D20) Approximation by polynomials (41A10) Algorithms for approximation of functions (65D15) Numerical approximation and evaluation of special functions (33F05)

Related Items (6)

Dual bases for Wang-Bézier basis and their applications ⋮ The dual bases for the Bézier-Said-Wang type generalized Ball polynomial bases and their applications ⋮ Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials ⋮ Bézier representation of the constrained dual Bernstein polynomials ⋮ The weighted dual functions for Wang-Bézier type generalized Ball bases and their applications ⋮ Dual basis functions for the NS-power basis and their applications

Cites Work

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• The weighted dual functionals for the univariate Bernstein basis
• The dual basis functions for the Bernstein polynomials
• The dual basis functions for the generalized Ball basis of odd degree
• Legendre-Bernstein basis transformations
• The B-spline basis in a space of algebraic polynomials
• On the stability of transformations between power and Bernstein polynomial forms
• Jacobi-Bernstein Basis Transformation
• Transformation of Chebyshev–Bernstein Polynomial Basis

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