List questions from fourier-series

Published on 02 Apr 2026 - 5:00

85

Views

Find the Fourier coefficients of $h(x) = \sum_{|n|\geq 2}^{\infty} \frac{\sin(nx)}{n\ln(n)}$

Published on 02 Apr 2026 - 5:02

89

Views

Fourier coefficients of sin(1/k), i.e. essential discontinuity

Published on 02 Apr 2026 - 6:18

582

Views

A basic property of convex sequences

Published on 24 Jun 2020 - 17:15

511

Views

inner product over two functions

Published on 04 Apr 2026 - 11:21

86

Views

I tried to find Fourier series, but incorrectly, can someone tell me where is my mistake?

Published on 25 Jun 2020 - 17:06

369

Views

How can I expand function into a series of exponentially decaying (co)sines?

Published on 02 Apr 2026 - 7:08

22

Views

How to prove that the second condition for Leibniz test is met for the series?

Published on 26 Jun 2020 - 1:21

30

Views

Wrongly computed Fourier series coefficients

Published on 26 Jun 2020 - 6:00

141

Views

About the series $\sum\limits^\infty_{n=1}\frac{\mu(n)}n\,\left(\frac12-\{nx\}\right)$

Published on 26 Jun 2020 - 11:05

94

Views

Is there a series of $e^x$ that only contains $\sin(x)$ in the form of $e^x=\sum\limits_{n=0}^{\infty}c_n\cdot \sin(x)^n$?

Published on 29 Mar 2026 - 3:36

84

Views

Contradiction - Fourier series

Published on 01 Jul 2020 - 16:23

139

Views

Why non-smooth functions results in infinite sums?

Published on 02 Jul 2020 - 13:55

637

Views

Is every sine and cosine orthogonal to every other?

Published on 30 Mar 2026 - 5:13

52

Views

Differentiation of Fourier series for $f(x)$

Published on 03 Jul 2020 - 18:12

List Question

Bessel's inequality with condition on the derivative

Find the Fourier coefficients of $h(x) = \sum_{|n|\geq 2}^{\infty} \frac{\sin(nx)}{n\ln(n)}$

Fourier coefficients of sin(1/k), i.e. essential discontinuity

A basic property of convex sequences

inner product over two functions

I tried to find Fourier series, but incorrectly, can someone tell me where is my mistake?

How can I expand function into a series of exponentially decaying (co)sines?

How to prove that the second condition for Leibniz test is met for the series?

Wrongly computed Fourier series coefficients

About the series $\sum\limits^\infty_{n=1}\frac{\mu(n)}n\,\left(\frac12-\{nx\}\right)$

Is there a series of $e^x$ that only contains $\sin(x)$ in the form of $e^x=\sum\limits_{n=0}^{\infty}c_n\cdot \sin(x)^n$?

Contradiction - Fourier series

Why non-smooth functions results in infinite sums?

Is every sine and cosine orthogonal to every other?

Differentiation of Fourier series for $f(x)$

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