Open Access

Summability of Double Independent Random Variables

Journal of Inequalities and Applications20082008:948195

DOI: 10.1155/2008/948195

Received: 21 May 2008

Accepted: 1 July 2008

Published: 20 July 2008

Abstract

We will examine double sequence to double sequence transformation of independent identically distribution random variables with respect to four-dimensional summability matrix methods. The main goal of this paper is the presentation of the following theorem. If , , then and imply that almost sure P-convergence.

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Authors’ Affiliations

(1)
Department of Mathematics and Statistics, University of North Florida
(2)
Department of Mathematics, Istanbul commerce University

Copyright

© R. F. Patterson and E. Savaş. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.