Difference between revisions of "Euler means"
From Encyclopedia of Mathematics
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The means | 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 | + | often for $q=1$, used in the [[Euler summation method|Euler summation method]]. |
Latest revision as of 14:11, 23 July 2014
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
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