Mathematics, 23.02.2021 01:00 Yoma321
The function f(x) = cos(2πx) for x ∈ [0,1] is approximated by a a polynomial pn interpolating f at n + 1 points xi. How should n be chosen so that the error max 0≤x≤1|f(x)−pn(x)|≤ 10−8 (i) if the points xi are equally spaced? (ii) if the points xi are Chebyshev points? REMEMBER to compute the values of n.]
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