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

This paper is concerned with the problem of finding bounds for the norm of lower triangular matrix operators from l p ( w ) into c p ( w ) , where c p ( w ) is the Cesàro weighted sequence space and ( w n ) is a non-negative sequence. Also this problem is considered for lower triangular matrix opera...

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Bibliographic Details
Published in:Journal of inequalities and applications 2017-04, Vol.2017 (1), p.1-11, Article 67
Main Authors: Foroutannia, Davoud, Roopaei, Hadi
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Computation
Inequalities
lower triangular matrix
Mathematics
Mathematics and Statistics
norm
Norms
Nörlund matrix
Operators
Texts
weighted mean matrix
weighted sequence space
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Summary:This paper is concerned with the problem of finding bounds for the norm of lower triangular matrix operators from l p ( w ) into c p ( w ) , where c p ( w ) is the Cesàro weighted sequence space and ( w n ) is a non-negative sequence. Also this problem is considered for lower triangular matrix operators from c p ( w ) into l p ( w ) , and the norms of certain matrix operators such as Cesàro, Nörlund and weighted mean are computed.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-017-1339-6