Sequence Spaces Defined by Musielak-Orlicz Function over -Normed Spaces

Abstract

In the present paper we introduce some sequence spaces overn-normed spaces defined by a Musielak-Orlicz function . We also study some topological properties and prove some inclusion relations between these spaces.

Some new triple sequence spaces over n-normed space

“…Any complete n-normed space is said to be n-Banach space. The n-normed space has been studied in stretch ( [1], [4], [5], [6], [21], [22], [23]).…”

Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β)

“…For recent work related to various kinds of difference sequence spaces, we refer to [7][8][9][10][11][12][13] and references therein.…”

New Difference Sequence Spaces Defined by Musielak-Orlicz Function

“…Since then, many others have studied this concept and obtained various results; see Gunawan [23,24] and Gunawan and Mashadi [25]. For more details about sequence spaces see [26][27][28][29][30][31][32][33] and references therein. Let ∈ N and be linear space over the field K, where K is the field of real or complex numbers of dimension , where ≥ ≥ 2.…”