The $l^p$ norms of a class of weighted mean matrices

Peng Gao, Huayu Zhao

We study the $l^p$ norms of a class of weighted mean matrices whose diagonal terms are given by $n^{\alpha }/{\sum }_{i=1}^n{i}^{\alpha }$ with $\alpha >-1$. The $l^p$ norms of such matrices are known for…