Domain of the generalized double Cesàro matrix in some paranormed spaces of double sequences

DOI10.1515/tmj-2017-0024zbMath1378.46006OpenAlexW2602763612MaRDI QIDQ523914

Serkan Demiriz, Osman Duyar

Publication date: 25 April 2017

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/tmj-2017-0024

zbMATH Keywords

double sequence spacesfour dimensional Riesz matrix of order oneparanormed double sequence spaces

Mathematics Subject Classification ID

Matrix methods for summability (40C05) Sequence spaces (including Köthe sequence spaces) (46A45) Multiple sequences and series (40B05)

Related Items (4)

\(q\)-Cesàro double sequence space \(\widetilde{\mathcal{L}}_s^q\) derived by \(q\)-analog ⋮ The spaces of \(B(r,s,t,u)\) strongly almost convergent double sequences and matrix transformations ⋮ Matrix domain of a regular matrix derived by Euler totient function in the spaces \(c_0\) and \(c\) ⋮ On the spaces ℬ𝒱𝜗0 of double sequences of bounded variation

Cites Work

• The Riesz convergence and Riesz core of double sequences
• Extensions of the spaces \(c\) and \(c_ 0\) from single to double sequences
• Statistical convergence of double sequences
• Double sequence space \(\ell_{2}^{\infty}(p)\)
• Almost strongly regular matrices and a core theorem for double sequences
• Almost convergence and a core theorem for double sequences
• The double sequences spaces \(c_{2}^{P}(p)\) and \(c_{2}^{PB}(p)\)
• Some new spaces of double sequences
• Domain of difference matrix of order one in some spaces of double sequences
• Domain of Cesàro mean of order one in some spaces of double sequences
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