Bounds for the norm of lower triangular matrices on the Cesàro weighted sequence space

Abstract

Abstract This paper is concerned with the problem of finding bounds for the norm of lower triangular matrix operators from l p ( w ) $l_{p}(w)$ into c p ( w ) $c_{p} (w)$ , where c p ( w ) $c_{p}(w)$ is the Cesàro weighted sequence space and ( w n ) $(w_{n})$ is a non-negative sequence. Also this problem is considered for lower triangular matrix operators from c p ( w ) $c_{p}(w)$ into l p ( w ) $l_{p} (w)$ , and the norms of certain matrix operators such as Cesàro, Nörlund and weighted mean are computed.

Keywords

• norm
• lower triangular matrix
• Nörlund matrix
• weighted mean matrix
• weighted sequence space