Let $\{a_{n}\}$ be a non-increasing sequence of positive numbers. if for some positive integers $l,p$ and $R>1$ we have $a_{(ln)^{p}}=O(R^{-n})$ as $n\to\infty$, what can we say about the behavior of $a_{n}$? tkx!!
Asymptotic behavior of a sequence based on a subsequence II
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sequences-and-series
asymptotics
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0Without further information, such as monotonicity, we cannot say anything further. – 2012-08-22