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Polynomials as linear combinations of multivariateB-splines

✍ Scribed by Wolfgang Dahmen

Book ID
105121747
Publisher
Springer-Verlag
Year
1979
Tongue
French
Weight
266 KB
Volume
169
Category
Article
ISSN
0025-5874

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The linear combination of iterates \(1-\left(1-P_{n}\right)^{M}\) of Bernstein and Durrmeyer operators of a fixed degree \(n\) is considered for increasing order of iteration \(M\). The resulting sequence of polynomials is shown to converge to the Lagrange interpolating polynomial for the Bernstein