Faster approximation to multivariate functions by combined Bernstein-Taylor operators

In this article, we incorporate multivariate Taylor polynomials into the definition of the Bernstein operators to get a faster approximation to multivariate functions by these combined operators. We also give various numerical simulations including graphical illustrations and error estimations. Our...

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Bibliographic Details
Published in:	Demonstratio mathematica Vol. 58; no. 1; pp. 147 - 153
Main Author:	Duman, Oktay
Format:	Journal Article
Language:	English
Published:	De Gruyter 26.05.2025
Subjects:	41A10 41A25 41A58 modulus of continuity multivariate Bernstein polynomials multivariate max-product Bernstein operators multivariate Taylor oplynomials rate of convergence
ISSN:	2391-4661, 2391-4661
Online Access:	Get full text
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Summary:	In this article, we incorporate multivariate Taylor polynomials into the definition of the Bernstein operators to get a faster approximation to multivariate functions by these combined operators. We also give various numerical simulations including graphical illustrations and error estimations. Our results improve not only the linear approximation by classical Bernstein polynomials but also the nonlinear approximation obtained by max-product operations.
ISSN:	2391-4661 2391-4661
DOI:	10.1515/dema-2025-0129