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Marko Karbevski's user avatar
Marko Karbevski's user avatar
Marko Karbevski's user avatar
Marko Karbevski
  • Member for 11 years, 7 months
  • Last seen this week
  • Orsay, France
4 votes

Weak convergence in $L^p$ space.

3 votes

How can I show whether the series $\sum\limits_{n=1}^\infty \frac{(-1)^n}{n(2+(-1)^n)} $ converges or diverges?

3 votes
Accepted

$\prod\limits_{k = 0}^\infty {(1 - {p_k})} = 0$ if and only if $\sum\limits_{k = 0}^\infty {{p_k}} $ diverges

3 votes
Accepted

Continuous expanding self mapping between compact metric spaces

3 votes

Is it true that for all $U$, $W$ non-empty sets in $\mathbb{R}^{n}$ if $U \cup W=\mathbb{R}^{n}$ then $U=\mathbb{R}^n$ or $W=\mathbb{R}^{n}$

3 votes

$L^2\subset L^1$ in case if the measure is finite

2 votes

Conditions on $g$ so that $x=0$ is stable

2 votes

prove $\sum_{n=1}^{\infty}a_n$ converges iff $\sum_{n=1}^{\infty}f(a_n)$ converges

2 votes

How to prove this set is uncountable?

2 votes

Check uniform convergence of $\sum_{n=1}^{\infty}\frac{x\sqrt{n}}{1+x^2n^2}$

2 votes
Accepted

Show that a function is Lebesgue integrable

2 votes
Accepted

Does compact orbit imply periodicity?

2 votes
Accepted

Prove that every set that is open with respect to $\|\cdot\|_a$ is also open with respect to $\|\cdot\|_b$.

2 votes

Prove an inequality by Induction: $(1-x)^n + (1+x)^n < 2^n$

2 votes
Accepted

Show that $ (b_{k})$ is strictly decreasing

2 votes
Accepted

Partial derivative of $g(x,y)=f(h(x,y),l(x,y))$

2 votes

Why is Completeness and Compactness not equivalent in Normed Spaces?

2 votes

Exercise n 2.10 Billingsley- probability and measures - third edition

1 vote
Accepted

Can the Arzelà–Ascoli theorem be generalized for functions from a compact to a complete metric space?

1 vote

$f_n$ are continuously differentiable , then so is the uniform limit function $f$. prove or disprove

1 vote

Does the series $\sum\limits_{n=1}^\infty\frac{\ (-1)^n \log(n)}{\sqrt{n}}$ converge?

1 vote

Application of Maximum Principle or Identity Theorem.

1 vote
Accepted

Can we relax the condition of Cesàro's Lemma?

1 vote

Determine if a sequence $\left(1 + \frac{1}{n+2}\right)^{3n\log(n)}$ converges or diverges, and if it converges find its limit?

1 vote

In search of a "perfect" test on (positive) series convergence

1 vote
Accepted

If the derivative tends to infinity near a point, does that mean that the derivative does not exist at that point?

1 vote

Find a radius of convergence of power series

1 vote
Accepted

Bound on L2 norm of Solution to Heat Equation

1 vote

Measure of solution set

1 vote
Accepted

Equivalent criteria for being dense in $L_p(X)$