Bernstein-type operators on the unit disk

DOI10.1007/s40840-023-01520-3zbMath1521.32015arXiv2203.03777MaRDI QIDQ6168200

Marlon J. Recarte, Teresa E. Pérez, Misael E. Marriaga

Publication date: 10 July 2023

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.03777

zbMATH Keywords

Bernstein-type operatorsapproximation on the unit disk

Mathematics Subject Classification ID

Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Cites Work

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• Bernstein-type operators which preserve polynomials
• General King-type operators
• Shape preserving approximation by Bernstein-type operators which fix polynomials
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• Bernstein-Durrmeyer polynomials on a simplex
• Positive linear operators which preserve \(x^2\)
• A Method for Obtaining Polynomials of Bernstein type of two Variables
• Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type Operators
• Orthogonal Polynomials of Several Variables
• Linear Combinations of Bernstein Polynomials

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