Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights
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Ait-Haddou, RachidKAUST Department
Visual Computing Center (VCC)Date
2016-03-02Online Publication Date
2016-03-02Print Publication Date
2016-07Permanent link to this record
http://hdl.handle.net/10754/600525
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We show that the weighted least squares approximation of Bézier coefficients with Hahn weights provides the best polynomial degree reduction in the Jacobi L2L2-norm. A discrete analogue of this result is also provided. Applications to Jacobi and Hahn orthogonal polynomials are presented.Citation
Continuous and discrete best polynomial degree reduction with Jacobi and Hahn weights 2016 Journal of Approximation TheoryPublisher
Elsevier BVJournal
Journal of Approximation TheoryAdditional Links
http://linkinghub.elsevier.com/retrieve/pii/S0021904516000411ae974a485f413a2113503eed53cd6c53
10.1016/j.jat.2016.02.018