Unformatted text preview: Deduce that the zeros of Chebyshev polynomials are symmetrically placed about the origin. 3. Using the recurrence relation, determine the Chebyshev polynomials { T n ( x ) } n =6 n =0 . Conﬁrm that T 6 ( x ) has 7 extreme points and determine these points directly from the polynomial. Using the properties of the Chebyshev polynomials, sketch T 6 ( x ) ....
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 Spring '09
 Dr.Sharpey
 Numerical Analysis, Tn, Recurrence relation, chebyshev polynomials, piecewise linear function

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