(Aσ )Δ -DOUBLE SEQUENCE SPACES VIA ORLICZ FUNCTIONS AND DOUBLE STATISTICAL CONVERGENCE

Document Type : Regular Paper

Authors

1 Istanbul Ticaret University, Department of Mathematics, Uskudar, Istanbul, Turkey

2 Department of Mathematics and Statistics, University of North Florida, Jacksonville, Florida 32224, USA

Abstract

The aim of this paper is to introduce and study a new concept of strong double Δ ( A ) σ -
convergence sequences with respect to an Orlicz function, and some properties of the resulting sequence
spaces were also examined. In addition, we define the Δ ( A ) σ -statistical convergence and establish some
connections between the spaces of strong double Δ ( A ) σ -convergence sequences and the space of double
Δ ( A ) σ -statistical convergence.

Keywords

Iranian Journal of Science
Volume 32, Issue 4 - Serial Number 4
November and December 2008
Pages 357-367

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