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Lagrange and least-squares polynomials as limits of linear combinations of iterates of Bernstein and Durrmeyer polynomials

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Publication:1890567
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DOI10.1006/jath.1995.1018zbMath0823.41022OpenAlexW2026025473MaRDI QIDQ1890567

J. C. Sevy

Publication date: 18 May 1995

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1995.1018

zbMATH Keywords

Bernstein polynomialsDurrmeyer polynomials


Mathematics Subject Classification ID

Approximation by positive operators (41A36)


Related Items

Iterated Bernstein operators for distribution function and density estimation: balancing between the number of iterations and the polynomial degree, On the limits of (linear combinations of) iterates of linear operators, Iterated Boolean Sums of Bernstein Type Operators, Application of iterated Bernstein operators to distribution function and density approximation, Convergence of Iterated Boolean-type Sums and Their Iterates, \(K\)-functionals and multivariate Bernstein polynomials, The eigenstructure of the Bernstein operator, On the convergence and iterates of \(q\)-Bernstein polynomials



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