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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

5 votes
2 answers
422 views

Does the truncated Hausdorff moment problem admit absolutely continuous solutions?

Let $\mu$ be a (Borel) probability measure on $[0,1]$ and define $m_j(\mu) = \int x^j\,\mu(dx)$. Let $k$ be a positive integer and consider the set $\mathcal C_{\mu,k}$ of probability measures $\nu$ o …
Daniel Roy's user avatar
0 votes
3 answers
124 views

Bounds on derivative of integrable, monotonically decreasing, differentiable functions on $\...

The following three conditions have shown up as hypotheses in some recent work, and despite not having been able to find an example, we assume the third is not implied by the former two. We're hoping …
Daniel Roy's user avatar