منابع مشابه
Polynomial Interpolation in R3
K e y w o r d s L a g r a n g e interpolation, Simultaneous approximation, Freud weights 1. I N T R O D U C T I O N In this paper , we are concerned with construct ing in terpola t ing subspaces of polynomials of several variables of relat ively small dimension as well as the corresponding in terpola t ion formulae a l a Lagrange. DEFINITION 1. A (linear) subspace G C C(Rn) is called k-interpol...
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Consider a family of functions of a single variable x: Φ(x; a0, a1, . . . , an), where a0, . . . , an are the parameters. The problem of interpolation for Φ can be stated as follows: Given n + 1 real or complex pairs of numbers (xi, fi), i = 0, . . . , n, with xi 6= xk for i 6= k, determine a0, . . . , an such that Φ(xi; a0, . . . , an) = fi, i = 0, . . . , n. The above is a linear interpolatio...
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1 0. PREAMBLE I want to thank the organizers for inviting me to this meeting as it gives me the opportunity to help celebrate Sam Conte who gave me my rst academic job. More than that, he provided my children with many years of summer camp in the wilds of New Hampshire and Wisconsin, and at least two of them think that those summers in New Hampshire were essential for their growing up (and I te...
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Lagrange interpolation is a classical method for approximating a continuous function by a polynomial that agrees with the function at a number of chosen points (the “nodes”). However, the accuracy of the approximation is greatly influenced by the location of these nodes. Now, a useful way to measure a given set of nodes to determine whether its Lagrange polynomials are likely to provide good ap...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2004
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2004.10.022