On the A-statistical core of sequences of complex numbers

In [4], the concept of A-statistical core of a sequence of complex numbers was introduced and necessary and sufficient conditions were given for a summability matrix T to satisfy K-core(Tx) ⊆ stA-core(x) whenever x is a bounded complex sequence. In the present paper, we determine the classes of summ...

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Veröffentlicht in:Acta et commentationes Universitatis Tartuensis de mathematica 2003-12, Vol.7, p.31-36
Hauptverfasser: Çakan, Celal, Çoşkun, Hüsamettin
Format: Artikel
Sprache:eng
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Zusammenfassung:In [4], the concept of A-statistical core of a sequence of complex numbers was introduced and necessary and sufficient conditions were given for a summability matrix T to satisfy K-core(Tx) ⊆ stA-core(x) whenever x is a bounded complex sequence. In the present paper, we determine the classes of summability matrices T such that stA-core(Tx) ⊆ K-core(x) and stA-core(Tx) ⊆ stB-core(x) for all bounded complex sequences x.
ISSN:1406-2283
2228-4699
DOI:10.12697/ACUTM.2003.07.03