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

Journal of Inequalities and Applications

Davoud Foroutannia¹  Hadi Roopaei¹ 

[1] Department of Mathematics, Vali-e-Asr University of Rafsanjan;

关键词: norm;    lower triangular matrix;    Nörlund matrix;    weighted mean matrix;    weighted sequence space;   

DOI  :  10.1186/s13660-017-1339-6

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown