RH-regular transformations which sums a given double sequence

Document Type

Article

Publication Date

7-18-2013

Abstract

In 1946 P. Erdos and P. C Rosenbloom presented the following theorem that arose out of discussions they had with R. P. Agnew. Let {xn} be a bounded divergent sequence. Suppose that {xn} is summable by every regular Toeplitz method which sums {xn}. Then {yn} is of the form {cxn + an} where {an} is convergent. The goals of the paper includes the presentation of a multidimensional analog of Erdos and Rosenbloom results in [1].

Publication Title

Filomat

Volume

27

Issue

4

First Page

625

Last Page

627

Digital Object Identifier (DOI)

10.2298/FIL1304625P

ISSN

03545180

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