Generalized difference spaces of non-absolute type of convergent and null sequences

DOI10.1155/2012/435076zbMath1267.46017OpenAlexW1985517770WikidataQ58695137 ScholiaQ58695137MaRDI QIDQ1938198

Abdulcabbar Sönmez, Feyzi Basşar

Publication date: 4 February 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/435076

zbMATH Keywords

difference sequence\(BK\)-spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Summability and bases in topological vector spaces (46A35)

Related Items (14)

Sequence spaces derived by the triple band generalized Fibonacci difference operator ⋮ On the Gamma Spaces Including the Spaces of Absolutely p-Summable, Null, Convergent and Bounded Sequences ⋮ Two new sequence spaces generated by the composition of \(m\)th order generalized difference matrix and lambda matrix ⋮ \(\Lambda^2\)-Fibonacci sequence spaces ⋮ Banach spaces and inequalities associated with new generalization of Cesàro matrix ⋮ Fractional ordered Euler Riesz difference sequence spaces ⋮ Some topological and geometric properties of some new spaces of \(\lambda\)-convergent and bounded series ⋮ On statistical convergence of difference sequences of fractional order and related Korovkin type approximation theorems ⋮ Domain of the double sequential band matrix in the spaces of convergent and null sequences ⋮ On the domain of the triangle \(A(\lambda)\) on the spaces of null, convergent, and bounded sequences ⋮ Sequence spaces associated with fractional Copson matrix and compact operators ⋮ On the factorable spaces of absolutely \(p\)-summable, null, convergent, and bounded sequences ⋮ A study on Copson operator and its associated sequence space ⋮ Cesàro spaces and norm of operators on these matrix domains

Cites Work

• On some new difference sequence spaces of non-absolute type
• Some new sequence spaces derived by the domain of the triple band matrix
• The dual spaces of sets of difference sequences of order \(m\) and matrix transformations
• The fine spectrum and the matrix domain of the difference operator \(\Delta\) on the sequence space \(l_{p},\;(0<p<1)\)
• Matrix transformations on some sequence spaces related to strong Cesàro summability and boundedness
• Matrixtransformationen von Folgenräumen. Eine Ergebnisübersicht
• Matrix transformations between sequence spaces of generalized weighted means.
• Some new paranormed sequence spaces.
• On the paranormed Riesz sequence spaces of non-absolute type
• On the new sequence spaces which include the spaces \(c_0\) and \(c\)
• Some new difference sequence spaces
• On some new sequence spaces and related matrix transformations
• Almost convergence and triple band matrix
• On the Euler sequence spaces which include the spaces \(\ell_{p}\) and \(\ell_{\infty}\). I
• On Certain Sequence Spaces
• Matrix transformations between the sequence space BVP and certain BK spaces
• On Some Euler Sequence Spaces of Nonabsolute Type
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