The Zero-Removing Property and Lagrange-Type Interpolation Series
نویسندگان
چکیده
منابع مشابه
A continuity property of multivariate Lagrange interpolation
Let {St} be a sequence of interpolation schemes in Rn of degree d (i.e. for each St one has unique interpolation by a polynomial of total degree ≤ d) and total order ≤ l. Suppose that the points of St tend to 0 ∈ Rn as t→ ∞ and the Lagrange-Hermite interpolants, HSt , satisfy limt→∞HSt(x) = 0 for all monomials xα with |α| = d + 1. Theorem: limt→∞HSt (f) = T d(f) for all functions f of class Cl−...
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ژورنال
عنوان ژورنال: Numerical Functional Analysis and Optimization
سال: 2011
ISSN: 0163-0563,1532-2467
DOI: 10.1080/01630563.2011.587076