منابع مشابه
To Compute the Optimal Interpolation Formula
The purpose of this paper is to explain how to compute the function Í2 which interpolates values of a function of one variable fix) at n distinct points x, ik) < x2 < ■ • • < *n_i < x„, and which, whenever ll/v 'H^ is bounded and the value of the bound is unknown, provides the smallest possible value of Bix) in the error bound \fix) Í2(x)l < B(*)ll/(fc)lloo
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and the formulas may be used to extend the definition of Si(w, ¿) and S2(n, k) for arbitrary real n. In a previous paper [2] the writer has proved several apparently new formulas relating the two kinds of Stirling numbers to each other. Carlitz [l] has generalized these results in part as follows. Instead of considering the polynomial B['\ let fk(z) denote an arbitrary polynomial in z of degree...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1977
ISSN: 0021-9045
DOI: 10.1016/0021-9045(77)90061-2