Titlebook: Approximation Theory and Spline Functions; S. P. Singh,J. W. H. Burry,B. Watson Book 1984 D. Reidel Publishing Company, Dordrecht, Holland

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意外的成功

On Spaces of Piecewise Polynomials in Two Variables,The purpose of this paper is to survey the progress which has been made in the last several years in developing a theory for spaces of piecewise polynomials in two variables. The ultimate goal for this area would be to have a complete analog of the univariate theory, but as we shall see, much remains to be done.

foreign

Obvious

chassis

Directed

B-Splines on the Circle and Trigonometric B-Splines,We shall first introduce the notion of circle splines. Denote by Π. the space of polynomials of degree at most n on the unit circle U = {z € (ℂ: |z| = 1}.

Transfusion

协奏曲

Four Lectures on Multivariate Approximation,(many-variable) approximation. In either case, the central problem of best approximation can be stated thus: a Banach space X and a subspace Y of X are prescribed, and for a particular x ∈ X we seek a best approximation of x in Y.

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cavity

Birkhoff Interpolation on the Roots of Unity,, the general problem of Birkhoff interpolation on the roots of unity has not received enough attention. Even for a three row incidence matrix E we do not know any simple criterion for settling its regularity on the cube roots of unity.