Polynomial degree reduction in the \(\mathcal{L}^2\)-norm on a symmetric interval for the canonical basis

DOI10.1016/j.rinam.2021.100185zbMath1480.65041arXiv2105.07258OpenAlexW3201173787MaRDI QIDQ2063285

Habib Ben Abdallah, Christopher J. Henry, Sheela Ramanna

Publication date: 11 January 2022

Published in: Results in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.07258

zbMATH Keywords

optimizationLegendre polynomialscanonical basisEuclidian normpolynomial degree reduction

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15)

Cites Work

• Kernel methods in machine learning
• Degree reduction of Bézier curves by \(L^ 1\)-approximation with endpoint interpolation
• The use of Taylor series to test accuracy of function programs
• Distance for Bézier curves and degree reduction
• Degree reduction of Bézier curves

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