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Uniform approximation by linear combinations of Bernstein-type polynomials

โœ Scribed by B Wood

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
181 KB
Volume
41
Category
Article
ISSN
0021-9045

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๐Ÿ“œ SIMILAR VOLUMES

Lagrange and Least-Squares Polynomials a
Lagrange and Least-Squares Polynomials as Limits of Linear Combinations of Iterates of Bernstein and Durrmeyer Polynomials
โœ J.C. Sevy ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

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