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Yuhang

Apparently, this user prefers to keep an air of mystery about them.

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  • Member for 3 years, 5 months
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  • Last seen Apr 11 '19 at 15:46

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21 When does $\lim_{n\to\infty}f(x+\frac{1}{n})=f(x)$ a.e. fail Jan 19 '18
12 A guess related to Lebesgue differentiation theorem Sep 11 '17
12 How to prove this integral inequality $ \int_0^{2\pi} p(x)[p(x)+p''(x)] dx \int_0^{2\pi}\frac{1}{p(x)+p''(x)} dx\geq 2\pi \int _0^{2\pi} p(x) dx $? Nov 29 '17
10 Does $f'(x)>0$ a.e. imply that $f$ is strictly monotone? Dec 17 '17
9 Existence of a sequence $\{\epsilon_n\}_{n\ge 1}$ such that $\sum\limits_{n=1}^{\infty}\frac{1}{n^{\varepsilon_n}} $ converges Sep 8 '17
8 If the Fourier coefficients satisfy $a_n=O(\frac{1}{n})$ and $f$ is continuous, then does $S_N(f)$ converges to $f$ uniformly? Oct 12 '17
5 A strange norm in the polynomial space $\mathbb{P}[0,1]$. A contradiction? Nov 28 '17
5 If $f:\mathbb{R}\to \mathbb{R}$ is a continuous function with $|f|$ uniformly continuous, is $f$ necessarily uniformly continuous? Dec 1 '18
4 Showing $f=0$ almost everywhere. Sep 1 '17
4 Show that if $\sum \limits_{n=1}^\infty a_n$ converges then $\lim\limits_{n\to\infty}\frac{1}{n}\sum _{k=1}^n ka_k=0$ Sep 22 '17
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