In mathematics, Hölder summation is a method for summing divergent series introduced by .
Given a series
a1+a2+ … ,
0 | |
H | |
n=a |
1+a2+ … +an
k+1 | ||||||||||
H | ||||||||||
|
\limn → infty
k | |
H | |
n |
Particularly, since the Cesàro sum of a convergent series always exists, the Hölder sum of a series (that is Hölder summable) can be written in the following form:
\lim\begin{smallmatrix
k | |
n → infty\ k → infty \end{smallmatrix}}H | |
n |