Complete asymptotic expansion for multivariate Bernstein–Durrmeyer operators and quasi-interpolants

Author:

Abel U.,Berdysheva E.E.

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference26 articles.

1. Asymptotic approximation by Bernstein–Durrmeyer operators and their derivatives;Abel;Approx. Theory Appl.,2000

2. The complete asymptotic expansion for Bernstein–Durrmeyer operators with Jacobi weights;Abel;Mediterr. J. Math.,2004

3. The complete asymptotic expansion for the natural quasi-interpolants of Bernstein–Durrmeyer operators;Abel,2006

4. Approximation processes for Fourier–Jacobi expansions;Bavinck;Appl. Anal.,1976

5. New polynomial preserving operators on the simplex: Direct results;Berdysheva;J. Approx. Theory,2004

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1. Expressions, Localization Results, and Voronovskaja Formulas for Generalized Durrmeyer Type Operators;Springer Proceedings in Mathematics & Statistics;2020

2. Asymptotic Expansions for Bernstein–Durrmeyer–Chlodovsky Polynomials;Results in Mathematics;2018-07-05

3. Approximation with Positive Linear Operators and Linear Combinations;Developments in Mathematics;2017

4. Voronovskaja-Type Estimates;Approximation with Positive Linear Operators and Linear Combinations;2017

5. Asymptotic Properties of Bernstein–Durrmeyer Operators;Results in Mathematics;2015-07-17

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