List questions from real-analysis

Published on 13 Apr 2026 - 7:50

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Young's inequality with duality bracket

Published on 29 Apr 2026 - 12:47

65

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Fixed point continous function

Published on 11 Apr 2026 - 6:37

96

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Example of a continuous function $f:(0,1) \rightarrow \mathbb{R}$ such that $\int_{1/n}^1 f \, dx = 0$ for all $n$ but $\int_0^1 f \, dx$ DNE?

Published on 16 Apr 2026 - 2:20

96

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Does it make sense to talk about "frequency" when expanding a function using spherical harmonics?

Published on 02 May 2026 - 18:29

24

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Decide whether integral series is finite

Published on 15 Apr 2026 - 12:35

103

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if $\sup(S) = \infty$, then there is a sequence $s_n \in S$ such that its limit is $\infty$?

Published on 04 May 2026 - 20:39

59

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Exercise: Prove $\;L^2-$norm of a sequence of functions goes to $\;\infty\;$

Published on 14 Apr 2026 - 15:14

560

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Show that a function is continuous in one variable.

Published on 13 Apr 2026 - 7:33

47

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Showing the equality of integrals with conditions (Analysis).

Published on 10 Apr 2026 - 20:27

1.1k

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Product of $L^2$ functions on different measure spaces

Published on 14 Apr 2026 - 5:13

88

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Verify the Limit: $\lim_{x\rightarrow 9} (\sqrt{x} +9) = 12$

Published on 17 Apr 2026 - 12:39

170

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Calculate limit of sequence of Riemann Sums

Published on 15 Apr 2026 - 12:11

346

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Does there exists a onto continuos function $f\colon (0,1) \to[0,1]$ which is one to one .

Published on 14 Apr 2026 - 12:52

67

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Area of 2-dimensional surface

Published on 14 Apr 2026 - 20:59

List Question

Show the limit holds true.

Young's inequality with duality bracket

Fixed point continous function

Example of a continuous function $f:(0,1) \rightarrow \mathbb{R}$ such that $\int_{1/n}^1 f \, dx = 0$ for all $n$ but $\int_0^1 f \, dx$ DNE?

Does it make sense to talk about "frequency" when expanding a function using spherical harmonics?

Decide whether integral series is finite

if $\sup(S) = \infty$, then there is a sequence $s_n \in S$ such that its limit is $\infty$?

Exercise: Prove $\;L^2-$norm of a sequence of functions goes to $\;\infty\;$

Show that a function is continuous in one variable.

Showing the equality of integrals with conditions (Analysis).

Product of $L^2$ functions on different measure spaces

Verify the Limit: $\lim_{x\rightarrow 9} (\sqrt{x} +9) = 12$

Calculate limit of sequence of Riemann Sums

Does there exists a onto continuos function $f\colon (0,1) \to[0,1]$ which is one to one .

Area of 2-dimensional surface

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