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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Vydáno v:Demonstratio mathematica Ročník 58; číslo 1; s. 147 - 153
Hlavní autor: Duman, Oktay
Médium: Journal Article
Jazyk:angličtina
Vydáno: De Gruyter 26.05.2025
Témata:
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
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Shrnutí: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