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What is the formula for Parseval’s relation in Fourier series expansion?

Posted: Thu Jul 14, 2022 9:41 am
by answerhappygod
a) \( \int_{-l}^l (f(x))^2 dx=l[\frac{a_0^2}{2}+∑_{n=1}^∞(a_n^2+b_n^2 ) ] \)
b) \( \int_{-l}^l (f(x))^2 dx=l[\frac{a_0^2}{2}+∑_{n=1}^∞(a_n^2 ) ] \)
c) \( \int_{-l}^l (f(x))^2 dx=l⁄2 [\frac{a_0^2}{2}+∑_{n=1}^∞(a_n^2+b_n^2 ) ] \)
d) \( l\int_{-l}^l (f(x))^2 dx=[\frac{a_0^2}{2}+∑_{n=1}^∞(a_n^2+b_n^2 ) ] \)