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Mathematics
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  • Member for 12 years
  • Last seen more than 11 years ago
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6
Show $1 + 2 \sum_{n=1}^N \cos n x = \frac{ \sin (N + 1/2) x }{\sin \frac{x}{2}}$ for $x \neq 0$ [duplicate]
Jul 27, 2012
6
Show $ \int_{-\pi}^{\pi} \frac{1 - \cos (n+1) x}{1- \cos x} dx = (n+1) 2 \pi$ for $n \in \mathbb N$ [duplicate]
Jul 27, 2012
4
How can I prove $\lim_{n \to \infty} \int_{0}^{\pi/2} f(x) \sin ((2n+1) x) dx =0 $?
Jul 26, 2012
2
About uniform boundedness theorem.
Jul 19, 2012
2
A simple question about the open mapping theorem
Jul 20, 2012
2
About completeness of the Fourier series.
Jul 26, 2012
1
Why does $ \| v_1 \cdots v_k \|_2 \leqslant \|v_k \|_2 \|v_1 \|_\infty \cdots \| v_{k-1} \|_\infty$ hold?
Jul 22, 2012
1
About finite dimensional vector spaces
Jul 26, 2012
1
About the orthonormal decomposition of $L^2 (-\pi , \pi) $
Jul 26, 2012
0
When does $\| f^2 \|_2 \leqslant c \| f \|_2 $ hold?
Jul 22, 2012