Convergence of Iterated Boolean-type Sums and Their Iterates

DOI10.1080/01630563.2018.1467446zbMath1401.41005OpenAlexW2805076931MaRDI QIDQ4685617

Michele Campiti

Publication date: 9 October 2018

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1467446

zbMATH Keywords

Bernstein operatorsBernstein-Durrmeyer operatorsiterated Boolean sumsrepresentation of semigroups and resolvent operators

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Approximation by polynomials (41A10) Approximation by positive operators (41A36)

Related Items (2)

Iterated Boolean Sums of Bernstein Type Operators ⋮ Some numerical applications of generalized Bernstein operators

Cites Work

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• Linearkombinationen von iterierten Bernsteinoperatoren
• Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
• Convergence of iterated Boolean sums of simultaneous approximants
• Korovkin-type approximation theory and its applications
• Approximation theorems for the iterated Boolean sums of Bernstein operators
• The eigenstructure of the Bernstein operator
• Lagrange and least-squares polynomials as limits of linear combinations of iterates of Bernstein and Durrmeyer polynomials
• Iteration of positive approximation operators
• The saturation class and iterates of the Bernstein polynomials
• Regularity properties of semigroups generated by some Fleming--Viot type operators
• Interpolation Processes
• ON THE ITERATIVE COMBINATIONS OF BERNSTEIN POLYNOMIALS

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