论文信息 - A MATRIX CHARACTERIZATION OF STATISTICAL CONVERGENCE

A MATRIX CHARACTERIZATION OF STATISTICAL CONVERGENCE

It is known that this method of summability cannot be included by any matrix method, but for bounded sequences it is included by the Cesáro matrix method C\. In this paper these results eure extended by comparing statistical convergence with the intersection of a collection Τ of summability matrices, each of which is somewhat like C\. It is shown that a bounded sequence is statistically convergent if and only if it is summable by every matrix in T . On the other hand, no countable collection of matrices can include statistical convergence for unbounded sequences. Also, the class Τ is studied to determine which classical summability matrices belong to T .

J. A. Fridy | H. I. Miller | J. Fridy

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