A note on $l^p$ norms of weighted mean matrices

TL;DR

This paper investigates the $l^p$ norms of weighted mean matrices, providing new results that extend Bennett's work on weighted Carleman's inequalities, thus advancing understanding in this area of mathematical analysis.

Contribution

It introduces novel results on the $l^p$ norms of weighted mean matrices, offering analogues to Bennett's inequalities, and enhances theoretical understanding in this domain.

Findings

New bounds for $l^p$ norms of weighted mean matrices

Analogues to Bennett's inequalities established

Contributions to weighted inequalities in analysis

Abstract

We present some results concerning the $l^p$ norms of weighted mean matrices. These results can be regarded as analogues to a result of Bennett concerning weighted Carleman's inequalities.