The space is C[0,2π] with the inner product ⟨f,g⟩=∫02π​f(t)g(t)dt. Find the third-order Fourier approximation to f(t)=16

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answerhappygod
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The space is C[0,2π] with the inner product ⟨f,g⟩=∫02π​f(t)g(t)dt. Find the third-order Fourier approximation to f(t)=16

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The space is C[0,2π] with the inner product ⟨f,g⟩=∫02π​f(t)g(t)dt. Find the third-order Fourier approximation to f(t)=16π−2t. The third-order Fourier approximation of f is (Type an exact answer, using π as needed.)
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