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Results tagged with sequences-and-series
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user 156112
for questions about sequences and series, e.g. convergence, closed form expressions, etc. Note that there is a different tag for spectral sequences, and also note that MathOverflow is not for homework. Please consider consulting the online encyclopedia for integer sequences, if you are trying to identify a given sequence that you have found in your research.
9
votes
2
answers
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An inequality involving square roots and sums
I've been trying to prove (maybe even disprove) the following inequality:
$$
\sum_{n=1}^{N} \frac{a_n}{\sqrt{\sum_{i=1}^{n}a_i}} \leq C \sqrt{\sum_{n=1}^{N}a_n}
$$
Where $ a_1,...,a_N\geq 0 $ are som …
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