Upper bounds for E-J matrices
APPLIED MATHEMATICS & INFORMATION SCIENCES, vol.6, no.3, pp.1125-1127, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 6 Issue: 3
- Publication Date: 2012
- Journal Name: APPLIED MATHEMATICS & INFORMATION SCIENCES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.1125-1127
- Keywords: nonnegative decreasing sequences, E-J generalized Hausdorff matrices, upper bounds, HAUSDORFF MATRICES, OPERATORS, LP
- Yıldız Technical University Affiliated: Yes
Abstract
In a recent paper [5] Lashkaripour and Foroutannia obtained the norm of a Hausdorff matrix, considered as a bounded linear operator from l(p)(w) to l(p)(v), where l(p)(w) and l(p)(v) are weighted l(p)-spaces, and p >= 1. As a corollary to this result they obtain a new proof for a Hausdorff matrix, with nonnegative entries, to be a bounded operator on l(p) for p > 1. In this paper these results are extended to the Endl- Jakimovski (E-J) generalized Hausdorff matrices.