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Euler means

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The means

$$\frac{1}{(q+1)^{n+1}}\sum_{k=0}^n\binom nkq^{n-k}S_k,\quad S_k=\sum_{n=0}^ka_n,$$

often for $q=1$, used in the Euler summation method.

How to Cite This Entry:
Euler means. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Euler_means&oldid=32529
This article was adapted from an original article by M. Hazewinkel (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article