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Mathematical Communications, Vol. 6 No. 2, 2001.

Izvorni znanstveni članak

I-limit superior and limit inferior

K. Demirci

Puni tekst: engleski pdf 117 Kb

str. 165-172

preuzimanja: 5.068

citiraj

Sažetak

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.

Ključne riječi

statistical limit superior and inferior; statistical core of a sequence; I-convergent sequence

Hrčak ID:

824

URI

https://hrcak.srce.hr/824

Datum izdavanja:

20.12.2001.

Posjeta: 6.034 *