Multivariate Bernstein-Durrmeyer operators with arbitrary weight functions

DOI10.1016/J.JAT.2009.11.005zbMath1195.41024OpenAlexW2024801457MaRDI QIDQ968962

Elena E. Berdysheva, Kurt Jetter

Publication date: 11 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.jat.2009.11.005

zbMATH Keywords

Korovkin type theoremJacobi weightBernstein basis polynomialsBernstein Durrmeyer operator

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by positive operators (41A36)

Related Items (14)

On the positive semigroups generated by Fleming-Viot type differential operators ⋮ Multivariate weighted Kantorovich operators ⋮ 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 ⋮ Approximation by multivariate Baskakov-Durrmeyer operators in Orlicz spaces ⋮ Uniform convergence of Bernstein-Durrmeyer operators with respect to arbitrary measure ⋮ 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 ⋮ Multivariate Bernstein operators and redundant systems ⋮ 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 ⋮ Durrmeyer type operators on a simplex

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• Durrmeyer Operators and Their Natural Quasi-Interpolants

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