modulus of fourier series

391 Views Asked by At

I have the following function $$\left|a_0 + \sum_{m=1}^{\infty}A_m \cos(mx)\right|$$ Is there any way to rewrite such an equation as $$\left|B_0\right| + \sum_{m=1}^{\infty}\left|B_m\cos(mx)\right|$$ or something similar?