simpsons
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| simpsons [2021/06/24 11:42] – created tahzibi | simpsons [Unknown date] (current) – removed - external edit (Unknown date) 127.0.0.1 | ||
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| - | Teorema de Parseval: | ||
| - | Sejam $f, g : [-\pi, \pi] \rightarrow \mathbb{R}$ funções Rieman integráveis e $f(x) \sim \sum_{-\infty}{\infty} c_n e^{inx}, g(x) \sim \sum_{-\infty}{\infty} \gamma_n e^{inx} $ respectivas séries de Fourier. Então: | ||
| - | - $\lim_{N \rightarrow \infty} \frac{1}{2\pi} \int_{-\pi}{\pi} |f(x)- S_N(f, x)|^2 dx = 0.$ | ||
| - | - $\frac{1}{2\pi} \int_{-\pi}{\pi} f(x) \bar{g(x)} dx = \sum_{-\infty}{\infty} c_n \bar{\gamma}_n | ||
simpsons.1624545723.txt.gz · Last modified: 2021/06/24 11:42 by tahzibi