Generalized Vector-Valued Sequence Spaces Defined by Modulus Functions

Generalized Vector-Valued Sequence Spaces Defined by Modulus Functions

We introduce the vector-valued sequence spaces , , and , and , using a sequence of modulus functions and the multiplier sequence of nonzero complex numbers. We give some relations related to these sequence spaces. It is also shown that if a sequence is strongly -Cesàro summable with respect to the m...

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Veröffentlicht in:Journal of inequalities and applications 2010-01, Vol.2010 (1), p.457892
1. Verfasser: Işik, Mahmut
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
Research Article
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Zusammenfassung:We introduce the vector-valued sequence spaces , , and , and , using a sequence of modulus functions and the multiplier sequence of nonzero complex numbers. We give some relations related to these sequence spaces. It is also shown that if a sequence is strongly -Cesàro summable with respect to the modulus function then it is -statistically convergent.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1155/2010/457892