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

habitat

Best Harmonic L1 Approximation to Subharmonic Functions,r equal to m - 1 of best approximation to h in the L. norm is the polynomial q. which interpolates h in the m points x. = cos(k/(m + 1)), k = 1, 2, …m. For the case m = 2, this says that the best linear polynomial approximant q* to convex C. (−1, 1)-function h in the L. norm can be computed by inter

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https://doi.org/10.1007/978-3-642-94805-3In this survey paper, we shall present several results concerning estimates for products of polynomials, in one or in several variables.

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NIP

https://doi.org/10.1007/978-3-642-91063-0The 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.

Soliloquy

Nestbau und Brutpflege bei Amphibien.,What we are concerned with is, roughly, the generalization to the elliptic case of the familiar multiple angle formulas of elementary trigonometry such as.(which are respectively polynomial, rational, algebraic). More generally we have.which we can also express as a Chebyshev polynomial:

BANAL

Indurate

https://doi.org/10.1007/978-3-642-91060-9In the definitive work of Faddeev [2] the three-body scattering problem is shown to be reducible to the solution of singular integral equations. We here consider spline approximation techniques to give reliable and computational methods for the numerical solution to these equations.

拖债

犬儒主义者

https://doi.org/10.1007/978-3-663-16388-6Let f be a continuous map from a compact interval I = [a, b] ⊂ ℝ into itself. We note f., the n-th iterate of f. We will say that f is an . of I if f has a single fixed point c, towards which converge all the sequences (f.(x)). x € I. Let us write .(f), the graph of f. We note: ..(f) = .(f.) and ..(f) = .(f.).

女歌星

Products of Polynomials,In this survey paper, we shall present several results concerning estimates for products of polynomials, in one or in several variables.