Asymptotic expansions for multivariate polynomial approximation

DOI10.1016/S0377-0427(00)00358-7zbMath0964.41004MaRDI QIDQ1590790

Guido Walz

Publication date: 21 December 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionconvergence accelerationBernstein operatorextrapolationmultivariate polynomial approximation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10)

Related Items (8)

Iterated Bernstein operators for distribution function and density estimation: balancing between the number of iterations and the polynomial degree ⋮ Approximation of multivariate function by using new multivariate Bernstein \(\alpha\)-polynomials ⋮ Extrapolation algorithms and Padé approximations: A historical survey ⋮ Complete asymptotic expansion for generalized Favard operators ⋮ Asymptotic expansion of multivariate Kantorovich type operators ⋮ Multivariate approximation by a combination of modified Taylor polynomials ⋮ Asymptotic expansion of multivariate conservative linear operators ⋮ Komleva-type expansions and asymptotics for linear operators

Cites Work

• Asymptotic formulae of multivariate Bernstein approximation
• Extrapolation methods
• Asymptotic expansion and extrapolation for Bernstein polynomials with applications
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