I should add a more focused remark.

Rereading K.Knopp's chapter about divergent summation it is better to relate it to the Riesz-method using generalized means (intead of referring to it as "modifed Euler-summation")

With the "summation of k'th order" k, the j'th terms of B (the partial sums) are here weighted with weights w_j such that

where (whether this makes sense or not... )

I hope, this display makes it more clear.

Gottfried

Rereading K.Knopp's chapter about divergent summation it is better to relate it to the Riesz-method using generalized means (intead of referring to it as "modifed Euler-summation")

With the "summation of k'th order" k, the j'th terms of B (the partial sums) are here weighted with weights w_j such that

where (whether this makes sense or not... )

I hope, this display makes it more clear.

Gottfried

Gottfried Helms, Kassel