On the A-statistical core of sequences of complex numbers

  • Celal Çakan İnönü University
  • Hüsamettin Çoşkun İnönü University
Keywords: A-statistical convergence, A-statistical core, matrix transformations, core theorems

Abstract

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.

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Published
2003-12-31
Section
Articles