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Results tagged with real-analysis
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user 70464
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
4
votes
2
answers
256
views
Sets $X,Y \subset [0,1]$, stronger than being measure $0$, such that $X+Y = [0,2]$
A set $X\subset \mathbb{R}$ is called nice if for every $\epsilon > 0$ there are a
positive integer $k$ and $k$ bounded intervals $I_1,I_2,...,I_k$ such that
$X \subset I_1 \cup I_2 \cup \cdo …
- 3,153
2
votes
1
answer
212
views
Covering the surface below a convex function
Is it possible to find the smallest positive real number $c$ (or at least the smallest positive integer $c$) such that the following result holds for all functions $f$ satisfying some conditions?
Let …
- 3,153
20
votes
1
answer
751
views
Minimum value of $|p(1)|^2+|p(2)|^2 +...+ |p(n+3)|^2$ over all monic polynomials $p$
Let $n$ be a positive integer. Determine the smallest possible value of $|p(1)|^2+|p(2)|^2 +...+ |p(n+3)|^2$ over all monic polynomials $p$ of degree $n$.
This question was proposed (problem A.61 …
- 3,153