Uniform convergence of Bernstein-Durrmeyer operators with respect to arbitrary measure

DOI10.1016/j.jmaa.2012.03.004zbMath1247.41014OpenAlexW1993111114MaRDI QIDQ439267

Elena E. Berdysheva

Publication date: 1 August 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.004

zbMATH Keywords

uniform convergenceBernstein type operator

Mathematics Subject Classification ID

Approximation by positive operators (41A36)

Related Items (9)

Approximation on variable exponent spaces by linear integral operators ⋮ Approximation by multivariate Bernstein-Durrmeyer operators and learning rates of least-squares regularized regression with multivariate polynomial kernels ⋮ Quantitative estimates in \(L^{p}\)-approximation by Bernstein-Durrmeyer-Choquet operators with respect to distorted Borel measures ⋮ Analysis of approximation by linear operators on variable \(L_\rho^{p(\cdot)}\) spaces and applications in learning theory ⋮ Uniform and pointwise convergence of Bernstein-Durrmeyer operators with respect to monotone and submodular set functions ⋮ Bernstein-Durrmeyer operators with respect to arbitrary measure. II: Pointwise convergence ⋮ Operators of Durrmeyer Type with Respect to Arbitrary Measure ⋮ Pointwise convergence of the Bernstein-Durrmeyer operators with respect to a collection of measures ⋮ The learning rates of regularized regression based on reproducing kernel Banach spaces

Cites Work

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• Multivariate Bernstein-Durrmeyer operators with arbitrary weight functions
• On multivariate approximation by Bernstein-type polynomials
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Sequences of contractions on L\(^1\)-spaces
• Approximation with polynomial kernels and SVM classifiers
• Durrmeyer Operators and Their Natural Quasi-Interpolants
• Korovkin-type Theorems and Approximation by Positive Linear Operators

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