Norm of Hilbert operator on sequence spaces

In this paper, we focus on the problem of finding the norm of Hilbert operator on some sequence spaces. Meanwhile, we obtain several interesting inequalities and inclusions.

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Bibliographic Details
Published in:Journal of inequalities and applications 2020-04, Vol.2020 (1), p.1-13, Article 117
Main Author: Roopaei, Hadi
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Cesàro matrix
Copson matrix
Difference sequence space
Hilbert matrix
Inclusions
Mathematics
Mathematics and Statistics
Norm
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Description
Summary:In this paper, we focus on the problem of finding the norm of Hilbert operator on some sequence spaces. Meanwhile, we obtain several interesting inequalities and inclusions.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-020-02380-2