Some spaces of double sequences obtained through invariant mean and related concepts

DOI10.1155/2013/507950zbMath1277.46003OpenAlexW1997660134WikidataQ58916947 ScholiaQ58916947MaRDI QIDQ369996

Abdullah M. Alotaibi, Syed Abdul Mohiuddine

Publication date: 19 September 2013

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

Full work available at URL: https://doi.org/10.1155/2013/507950

zbMATH Keywords

double sequence space

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Sequence spaces (including Köthe sequence spaces) (46A45) Multiple sequences and series (40B05)

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Cites Work

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• Invariant and absolute invariant means of double sequences
• Some matrix transformations of convex and paranormed sequence spaces into the spaces of invariant means
• Almost convergence and generalized difference matrix
• Almost convergence through the generalized de la Vallée-Poussin mean
• The Cesàro core of double sequences
• An application of almost convergence in approximation theorems
• Double \(\sigma\)-multiplicative matrices
• Invariant mean and some core theorems for double sequences
• On \(\sigma \)-conservative and boundedly \(\sigma \)-conservative four-dimensional matrices
• Regularly \(\sigma \)-conservative and \(\sigma \)-coercive four dimensional matrices
• Some new paranormed sequence spaces.
• Almost strongly regular matrices and a core theorem for double sequences
• Almost convergence and a core theorem for double sequences
• Some new difference sequence spaces
• On the strong almost convergence of double sequences
• The \(\sigma\)-convergence and \(\sigma\)-core of double sequences
• Some new spaces of double sequences
• A contribution to the theory of divergent sequences
• ON SOME NEW INVARIANT MATRIX METHODS OF SUMMABILITY
• Some new double sequence spaces of invariant means
• Almost convergence of double sequences and strong regularity of summability matrices
• A new type of convergence
• Some inequalities on sublinear functionals related to the invariant mean for double sequences
• Infinite Matrices and Invariant Means
• On some sequence spaces