Strongly Lacunary Summable Generalized Difference Double Sequence Spaces in n-Normed Spaces Defined by Ideal Convergence and an Orlicz Function

Abstract

The notion of n-normed space was studied at the initial stage by Gahler(Gahler, 1965), Gunawan (Gunawan, 2001) and many others. In this paper we introduce some certain new generalized difference double sequence spaces via ideal convergence, double lacunary sequence and an Orlicz function in n-normed spaces and examine some properties of the resulting these spaces.