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Domains for Bernstein polynomials

✍ Scribed by F.-J. Muñoz-Delgado; V. Ramírez-González; T. Sauer

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
210 KB
Volume
7
Category
Article
ISSN
0893-9659

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📜 SIMILAR VOLUMES

Construction of orthogonal bases for pol
Construction of orthogonal bases for polynomials in Bernstein form on triangular and simplex domains
✍ Rida T. Farouki; T.N.T. Goodman; Thomas Sauer 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 197 KB

A scheme for constructing orthogonal systems of bivariate polynomials in the Bernstein-Bézier form over triangular domains is formulated. The orthogonal basis functions have a hierarchical ordering by degree, facilitating computation of least-squares approximations of increasing degree (with permane

Müntz-Type Problems for Bernstein Polyno
Müntz-Type Problems for Bernstein Polynomials
✍ A. Kroo; J. Szabados 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 341 KB

We examine how many of the Bernstein basis functions \(x^{k}(1-x)^{n-k}, k=\) \(0, \ldots, n\), can be omitted such that linear combinations of the remaining polynomials are still dense in the space of continuous functions. Co 1994 Academic Press. Inc.