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Gauge_name
  • Member for 3 years, 10 months
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4 votes
Accepted

Does $W^{1,1}([a,b])$ compactly embed in $L^1([a,b])$?

3 votes
Accepted

Order of Convergence Proof with p>1 and M>0

3 votes
Accepted

Prove $L(b) = \ln(b)$

2 votes

Finding the right function to use in Jensen's Inequality.

2 votes
Accepted

How do I prove that $\sum_ {k=0}^ {\infty} \frac{\sin (kx)^2}{ (1+k^ 2x^2)}$ is not continuous at zero?

2 votes
Accepted

Compact integral operator on $H^1(\mathbb{R})$

1 vote

Prove $P\big(\lim (\inf A_n)\big) \le\big( \lim \inf P(A_n)\big)$

1 vote

Is there a way to obtain the Prohorov's theorem from the case of probabilities?

1 vote
Accepted

Finding the orthogonal complement to all linear functions on $(0, 1)\subset\mathbb{R}$.

1 vote

Show that $X = L^p \cap L^q$ with norm $||f|| = ||f||_p + ||f||_q$ is a Banach space.

1 vote

Cantor curve is not absolutely continuous

1 vote
Accepted

Limit property of second derivative of bounded function.

1 vote

Evaluating sums and integrals using Taylor's Theorem

1 vote

sum of four squares is less then one

1 vote

Is this cancellation argument used to find the sum of a geometric series correct?

1 vote

About the convergence of Lipschitz sequence of functions

0 votes
Accepted

Use the sum $\sum_{k=1}^{n} k^4 = \frac15 n^5 + \frac12 n^4 + \frac13 n^3 - \frac{1}{30}n$ to find the value of sup$\{L( f ,Pn) : n\in \mathbb{N}\}.$

0 votes

Math contest: Find number of roots of $F(x)=\frac{n}{2}$ involving a strange integral.

0 votes
Accepted

Question about $(n^2+1)*(\dfrac{1}{n}+o(\dfrac{1}{n}))$

0 votes

Convolution of a probability measure with itself is the same measure

0 votes
Accepted

What's an expression for the function of a limit?

0 votes

Prove that the sequence $t_n$ defined by $\dfrac{1}{n}(\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\cdots+\frac{1}{\sqrt{n}})$ converges