Marcel Riesz on N\"orlund Means

TL;DR

This paper discusses the general applicability of Marcel Riesz's conditions for N"orlund summation methods, extending their relevance beyond initial scope.

Contribution

It demonstrates that Riesz's conditions for N"orlund summation are broadly applicable in various contexts, not limited to original assumptions.

Findings

Riesz's conditions are generally applicable.

Extension of N"orlund summation methods.

Broader relevance of summation criteria.

Abstract

We note that the necessary and sufficient conditions established by Marcel Riesz for the inclusion of regular N\"orlund summation methods are in fact applicable quite generally.