
Review of Short Phrases and Links 
This Review contains major "Chebyshev Nodes" related terms, short phrases and links grouped together in the form of Encyclopedia article.
Definitions
 The Chebyshev nodes are important in approximation theory because they form a particularly good set of nodes for polynomial interpolation.
 All Chebyshev nodes are contained in the interval [−1, 1]. To get nodes over an arbitrary interval [ a, b] a linear transformation can be used.
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 The formulas of the Chebyshev nodes in the text do not seem to be correct, including the formula used in Computer Problem 10, Section 4.2, p.
 In numerical analysis, Chebyshev nodes are the roots of the Chebyshev polynomial of the first kind.
 O(N) algorithms for special cases (equidistant, Chebyshev nodes).
 This oscillation is lessened by choosing interpolation points at Chebyshev nodes.
 The oscillation can be minimized by using Chebyshev nodes instead of equidistant nodes.
 All Chebyshev nodes are contained in the interval [−1, 1]. To get nodes over an arbitrary interval [ a, b] a linear transformation can be used.
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 The Chebyshev nodes are important in approximation theory because they form a particularly good set of nodes for polynomial interpolation.
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Chebyshev Nodes
 For every absolutely continuous function on [−1, 1] the sequence of interpolating polynomials constructed on Chebyshev nodes converges to f(x) uniformly.
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 The roots are sometimes called Chebyshev nodes because they are used as nodes in polynomial interpolation.
 We conclude again that Chebyshev nodes are a very good choice for polynomial interpolation, as the growth in n is exponential for equidistant nodes.
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Categories
 Polynomial Interpolation
 Nodes
 Continuous Function
 Uniformly
 Oscillation

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