On $l^2$ norms of some weighted mean matrices

TL;DR

This paper provides a new proof of Bennett's result on the $l^2$ operator norms of certain weighted mean matrices and discusses related findings in the same context.

Contribution

It offers an alternative proof for a known result and extends the discussion to related weighted mean matrices.

Findings

New proof of Bennett's $l^2$ operator norm result

Additional related results on weighted mean matrices

Enhanced understanding of $l^2$ norms in matrix analysis

Abstract

We give another proof of a result of Bennett on the $l^{p}$ operator norms of some weighted mean matrices for the case $p=2$ and we also present some related results.