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

2019/12/02 by Peng Gao, Gao, Peng, Huayu Zhao +1
Mathematics · Computer Science · #Mathematical Inequalities and Applications #Matrix Theory and Algorithms #Approximation Theory and Sequence Spaces

paper · pdf · doi:10.48550/arxiv.1912.00708

Abstract

We study the l^p norms of a class of weighted mean matrices whose diagonal terms are given by n^α/∑ⁿ_i=1i^α with α> -1. The l^p norms of such matrices are known for p ≥ 2, (α+1)p >1 and 1

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