On paranorm \(\mathrm{BV}_\sigma\) \(I\)-convergent double sequence spaces defined by an Orlicz function

DOI10.1515/anly-2017-0004zbMath1385.46003OpenAlexW2740221253MaRDI QIDQ2013873

Vakeel A. Khan, Hira Fatima, Sameera A. A. Abdullah, Kamal M. A. S. Alshlool

Publication date: 9 August 2017

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2017-0004

zbMATH Keywords

invariant meanOrlicz functionbounded variationparanormidealfilter\(I\)-convergencesolid spacesequence algebra\(I\)-null\(\sigma\)-bounded variationconvergence free space

Mathematics Subject Classification ID

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

Cites Work

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• On a new \(I\)-convergent double-sequence space
• Some \(I\)-convergent sequence spaces defined by Orlicz functions
• Sequence spaces defined by Orlicz functions
• Invariant means and invariant matrix methods of summability
• On Orlicz sequence spaces
• A contribution to the theory of divergent sequences
• ON SOME NEW INVARIANT MATRIX METHODS OF SUMMABILITY
• ON A NEW SEQUENCE SPACE DEFINED BY ORLICZ FUNCTIONS
• ON STATISTICAL CONVERGENCE
• An Application of Banach Limits
• SOME SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS
• On a new I-convergent sequence space
• On some new double sequence spaces of invariant means defined by Orlicz functions
• Almost Summable Sequences