Direct and converse results for multivariate generalized Bernstein polynomials
type: Item
instance of: scholarly article
title: Direct and converse results for multivariate generalized Bernstein polynomials
zbMATH Open document ID: 1149.41008
author: Ertan Ibikli
author: İbrahim Büyükyazıcı
published in: Journal of Computational and Applied Mathematics
publication date: 2008-08-08T00:00:00Z
review text: In the paper under review, direct and inverse theorems for certain multivariate Bernstein polynomials are studied. Some examples of numerical solutions for the generalized polynomials are also presented.
Mathematics Subject Classification ID: 41A27
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 41A36
zbMATH DE Number: 5309286
zbMATH Keywords: Modulus of continuity
zbMATH Keywords: rate of convergence
zbMATH Keywords: direct theorem
zbMATH Keywords: inverse theorem
zbMATH Keywords: multivariate Bernstein polynomials
MaRDI profile type: Publication
full work available at URL: j.cam.2007.06.035
OpenAlex ID: W2023124576
cites work: Q5677915
cites work: Inverse theorems for multidimensional Bernstein operators
cites work: Q5752977
cites work: Inverse Theorem for Best Polynomial Approximation in L p , 0 < p < 1
cites work: Optimal approximation class for multivariate Bernstein operators
cites work: Generalized Bernstein-Chlodowsky polynomials
cites work: Saturation of positive operators
cites work: Some properties of two-dimensional Bernstein polynomials
cites work: \(q\)-Bernstein polynomials and Bézier curves
cites work: Saturation of local approximation by linear positive operators of Bernstein type
cites work: Approximation by Bernstein Polynomials
cites work: Direct and inverse theorems for Bernstein polynomials in the space of Riemann integrable functions
DOI: 10.1016/J.CAM.2007.06.035
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description: scientific article; zbMATH DE number 5309286