List questions from real-analysis

Published on 06 Apr 2026 - 15:35

256

Views

Lusin theorem and Fat Cantor set

Published on 10 Apr 2026 - 12:40

108

Views

Convolution theorem for Laplace transform

Published on 31 Mar 2026 - 16:10

126

Views

Show that $\widehat f(\xi)=f(\xi)~,$ where $\widehat f$is the Fourier transform of $f.$

Published on 24 Mar 2026 - 22:01

104

Views

Are given functions regulated?

Published on 12 Apr 2026 - 2:53

2.4k

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Show that Minkowski functional is a sublinear functional

Published on 08 Apr 2026 - 23:08

74

Views

Does the series $\sum_{n=1}^{\infty} (n^2+1)^{1/2}-(n^3+1)^{1/3}$ converge?

Published on 20 Jan 2018 - 15:44

159

Views

If $f$ is differentiable in $x_0$ and $f$ reaches a local maximum in $x_0$ then $\nabla f(x_0)=0$

Published on 10 Apr 2026 - 8:25

69

Views

What does $\overline{f(E)}$ mean exactly?

Published on 11 Apr 2026 - 5:57

378

Views

Better way to define this bijection [0,1) to (0,1)

Published on 09 Apr 2026 - 13:31

44

Views

Function inequality problem

Published on 10 Apr 2026 - 7:52

84

Views

Limit of $f_n(x)=f(x)(1+(sin x)^n)$

Published on 06 Apr 2026 - 21:29

154

Views

Convergence of a series involving $\sin(n)^n$

Published on 25 Mar 2026 - 1:17

155

Views

Why is $\sum \frac{1}{\ln(n)^{\ln n}}$ convergent?

Published on 12 Apr 2026 - 2:58

1.9k

Views

How do I show that if $f$ is Riemann int., then for each $\epsilon$ there exists a step function, $g(x)$, s.t. $\int |f(x)-g(x)| \ dx < \epsilon$?

Published on 02 Apr 2026 - 9:14

List Question

Find the sum of infinite series

Lusin theorem and Fat Cantor set

Convolution theorem for Laplace transform

Show that $\widehat f(\xi)=f(\xi)~,$ where $\widehat f$is the Fourier transform of $f.$

Are given functions regulated?

Show that Minkowski functional is a sublinear functional

Does the series $\sum_{n=1}^{\infty} (n^2+1)^{1/2}-(n^3+1)^{1/3}$ converge?

If $f$ is differentiable in $x_0$ and $f$ reaches a local maximum in $x_0$ then $\nabla f(x_0)=0$

What does $\overline{f(E)}$ mean exactly?

Better way to define this bijection [0,1) to (0,1)

Function inequality problem

Limit of $f_n(x)=f(x)(1+(sin x)^n)$

Convergence of a series involving $\sin(n)^n$

Why is $\sum \frac{1}{\ln(n)^{\ln n}}$ convergent?

How do I show that if $f$ is Riemann int., then for each $\epsilon$ there exists a step function, $g(x)$, s.t. $\int |f(x)-g(x)| \ dx < \epsilon$?

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