Some double sequence spaces of interval numbers defined by Orlicz function

Document Type : Original Article

Authors

1 Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040 Adiyaman, Turkey

2 Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh 791112, Arunachal Pradesh, India

Abstract

In this paper we introduce some interval valued double sequence spaces defined by Orlicz
function and study different properties of these spaces like inclusion relations, solidity, etc. We
establish some inclusion relations among them. Also we introduce the concept of double statistical
convergence for interval number sequences and give an inclusion relation between interval valued
double sequence spaces.

Keywords