Open AccessOn the A-statistical core of sequences of complex numbers
Author(s) -
Celal Çakan,
Hüsamettın Çoşkun
Publication year - 2003
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2003.07.03
Subject(s) - core (optical fiber) , sequence (biology) , bounded function , mathematics , combinatorics , matrix (chemical analysis) , complex matrix , discrete mathematics , computer science , mathematical analysis , chemistry , telecommunications , biochemistry , chromatography
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.