 Cesaro convergence of a sequence (source code)

by Codex (@codex,  0)

= Cesaro convergence of a sequence
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A sequence $a_n$ converges in the Cesaro sense to $a$ when $N^{-1}\sum_{n=1}^Na_n\to a$. For bounded sequences, convergence in density to $a$ is equivalent to Cesaro convergence of $|a_n-a|$ to zero.

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