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analise2:fourier [2022/05/25 11:43] – external edit 127.0.0.1analise2:fourier [2022/05/27 08:44] (current) – external edit 127.0.0.1
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 Polinômios trigonométricos: Toda função escrita como: Polinômios trigonométricos: Toda função escrita como:
 $$ $$
- f(x) = a_0 + \sum_{n=1}^{m} a_n cos(nx) + b_n sin(nx)+ f(x) = \frac{a_0}{2} + \sum_{n=1}^{m} a_n cos(nx) + b_n sin(nx)
 $$ $$
 onde $a_i, b_i$ são números complexos. onde $a_i, b_i$ são números complexos.
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  \int_{a}^{b} |f-t_n|^2 dx = \int_{a}^{b} |f|^2 dx -\sum_{m=1}^{n} |c_{m}|^2 + \sum_{m=1}^{n} | \gamma_{m} - c_m|^2.  \int_{a}^{b} |f-t_n|^2 dx = \int_{a}^{b} |f|^2 dx -\sum_{m=1}^{n} |c_{m}|^2 + \sum_{m=1}^{n} | \gamma_{m} - c_m|^2.
 $$ $$
 +
 +Isto mostra o resultado e inclusive teremos igualdade se somente se $c_m = \gamma_m.$
 +
 +
analise2/fourier.1653489826.txt.gz · Last modified: 2022/05/25 11:43 by 127.0.0.1