(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