Dual basis functions in subspaces of inner product spaces

DOI10.1016/j.amc.2013.04.015zbMath1300.46023arXiv1406.6632OpenAlexW2021716686MaRDI QIDQ2016356

Scott N. Kersey

Publication date: 20 June 2014

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

Full work available at URL: https://arxiv.org/abs/1406.6632

zbMATH Keywords

polynomialsdual basis functions

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Interpolation in approximation theory (41A05) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (1)

Dual basis functions in subspaces of inner product spaces

Cites Work

• Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials
• The weighted dual functionals for the univariate Bernstein basis
• The dual basis functions for the Bernstein polynomials
• Polynomial degree reduction in the \(L_2\)-norm equals best Euclidean approximation of Bézier coefficients
• Dual basis functions in subspaces of inner product spaces

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