New Difference Sequence Spaces Defined by Musielak-Orlicz Function

Abstract

We introduce new sequence spaces by using Musielak-Orlicz function and a generalized ∧ -difference operator on -normed space. Some topological properties and inclusion relations are also examined.

A Note on Lacunary Sequence Spaces of Fractional Difference Operator of Orderα,β

“…The concept of difference sequences, Orlicz function, Musielak-Orlicz function, and n-normed spaces was used by many authors and proves some topological properties (see [41][42][43][44][45][46][47][48][49][50]) and references therein. For details about nnormed spaces, we refer to ( [51][52][53][54][55]), difference sequence spaces ( [38,39]), Orlicz function ( [56][57][58]).…”

Multiplication Operators on Orlicz Generalized Difference (sss)

“…Recently, different classes of sequences have been examined the usage of Orlicz functions via Et et al [14], Mursaleen et al [15][16][17], and Alotaibi et al [18].…”

Some sequence spaces of Invariant means and lacunary defined by a Musielak-Orlicz function over $n$-normed spaces

“…183). For more details about sequence spaces (see [1], [8], [12], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [26], [27], [28], [29], [30], [32]) and reference therein.…”