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

平躺

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 € (?: |z| = 1}.

Transfusion

協(xié)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.