Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces

We introduce some vector-valued sequence spaces defined by a Musielak-Orlicz function and the concepts of lacunary convergence and strong ( A )-convergence, where A = ( a i k ) is an infinite matrix of complex numbers. We also make an effort to study some topological properties and some inclusion re...

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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.707-714-1469
Hauptverfasser: Mursaleen, Mohammad, Sharma, Sunil K., alOtaibi, Abdullah
Format: Artikel
Sprache:eng
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Zusammenfassung:We introduce some vector-valued sequence spaces defined by a Musielak-Orlicz function and the concepts of lacunary convergence and strong ( A )-convergence, where A = ( a i k ) is an infinite matrix of complex numbers. We also make an effort to study some topological properties and some inclusion relations between these spaces.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/858504