MMN-754
Some spaces of difference sequences and lacunary statistical convergence in $n$-normed space defined by sequence of Orlicz functions
Abstract
In the present paper we introduce some new sequence spaces in $n$-normed
space. We define here some new spaces of double sequences
by using the notions of lacunary sequences, difference sequences, almost convergence,
sequence of Orlicz functions and statistical convergence. We examine
some topological properties of these spaces of double sequences, inclusion relations
between these newly defined sequence spaces and establish relation with
lacunary statistical convergence. The study of these new sequence spaces provides
a tool to deal with convergence problems of double sequences.
Vol. 16 (2015), No. 1, pp. 283-304
DOI: 10.18514/MMN.2015.754