Author Topic: HA5 Problem 6  (Read 2259 times)

Victor Ivrii

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HA5 Problem 6
« on: February 26, 2015, 10:55:52 PM »
Decompose into Fourier series with respect to $\sin ((n+\frac{1}{2})x)$ ($n=0,1,\ldots$) on interval $[0,2\pi]$ and sketch the graph of the sum of such Fourier series:

a.  $1$;
b.  $x$;
c. $x(\pi -x)$;
d.  $\sin (m x)$ with $m\in \mathbb{N}$;
e.  $\cos (m x)$ with $m\in \mathbb{N}$;
f.  $\sin ((m-\frac{1}{2}) x)$ with $m\in \mathbb{N}$.

Mark Nunez

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Re: HA5 Problem 6
« Reply #1 on: February 26, 2015, 11:22:14 PM »
 :-\