Original scientific paper
I-limit superior and limit inferior
K. Demirci
Abstract
In this paper we extend concepts of statistical limit superior and
inferior (as introduced by Fridy and Orhan) to $\mathcal{I-}$limit superior and inferior and give some $\mathcal{I-}$analogue of properties of statistical limit superior and inferior for a sequence of real numbers. Also we extend the concept of the statistical core to $\mathcal{I-}$core for a complex number sequence and get necessary conditions for a summability
matrix $A$ to yield $\mathcal{I-}core\left\{ Ax\right\} $ $\subseteq
\mathcal{I-}core\left\{ x\right\} $ whenever $x$ is a bounded complex number
sequence.
Keywords
statistical limit superior and inferior; statistical core of a sequence; I-convergent sequence
Hrčak ID:
824
URI
Publication date:
20.12.2001.
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