Let f : R → R be an even 2T-periodic function and let ao, an, bn, for every n > 1, be the Fourier coefficients of f. The trigonometric polynomial of degree 2 of f (that is the partial sum S2(x) of index 2 of Fourier series of f) is: P2(x) = = ao + a cos (Tx) + a2 cos (2Tx) %3D O P2(x) = ao + a cos x + bị sin x + a2 cos (2x) + b2 sin (2x), %3D with ao, a1, a2, b1, b2 +0 P2(x) = bị sin x + b2 sin (2x) P2(x) = ao + ax + a2x? O P2(x) = ao + a cos x + a2 cos (2x)

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