# Chebyshev approximation coefficients

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Moreover, the set of minimax approximations p 0 (x), p 1 (x), p 2 (x), …, p n (x) requires the calculation and storage of 1 2 (n + 1) (n + 2) coefficients, whereas the corresponding set of Chebyshev-series approximations requires only n + 1 coefficients. For example, here we compute the Chebyshev coefficients of a cubic polynomial: x = chebfun( 'x' ); format long disp( 'Cheb coeffs of 99x^2 + x^3:' ) p = 99*x.^2 + x.^3; a = chebpoly(p)' Cheb coeffs of 99x^2 + x^3: a = 0.250000000000000 49.500000000000000 0.750000000000000 49.500000000000000