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Results tagged with real-analysis
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user 4701
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
11
votes
1
answer
2k
views
Functions whose antiderivative behaves like xf(x)
I'm wondering if a classification of analytic functions, $f\,$ (it may be that $C^1$ is enough, but I'm not taking any chances, if you have a reason why I only need to consider a larger class of funct …
- 1,049
2
votes
1
answer
346
views
Polynomial with subset of critical points and values prescribed
Motivated by this question I wish to pose the following question:
Given $k$ points $(x_1, y_1), \ldots (x_k, y_k)$ with (WLOG) $x_i < x_{i+1}$, can we find a polynomial $p(x)\in\Bbb R[x]$ satisfying
…
- 1,049