On some double sequence spaces of interval number

Abstract

Esi and Yasemin defined the metric spaces , , , and lp(f, p, s) of sequences of interval numbers by a modulus function. In this study, we consider a generalization for double sequences of these metric spaces by taking a ? function, satisfying the following conditions, instead of s parameter. For this aim, let ?(k, l) be a positive function for all k, l ? N such that (i) (ii) or ?(k, l) = 1. Therefore, according to class of functions which satisfying the conditions (i) and (ii) we deal with the metric spaces and of double sequences of interval numbers defined by a modulus function.