Some generalized difference double sequence spaces defined by a sequence of Orlicz-functions

Abstract

In the present paper we introduce some generalized difference double sequence spaces defined by a sequence of Orlicz-functions. We study some topological properties and some inclusion relations between these spaces. We also make an effort to study these properties over n-normed spaces. RESUMEN En este artículo introducimos algunos espacios de sucesiones doble-diferencia generalizadas definidas por una sucesión de funciones de Orlicz. Estudiamos algunas propiedades topológicas y algunas relaciones de inclusión entre estos espacios. Además, hacemos un esfuerzo para estudiar estas propiedades en espacios n-normados.

Ideal Convergent Sequence Spaces with Respect to Invariant Mean and a Musielak-Orlicz Function Over n-Normed Spaces

“…For more details about sequence spaces defined by Orlicz function see ( [22], [23], [24]) and reference therein.…”

Some seminormed difference sequence spaces defined by a Musielak-Orlicz function over n-normed spaces

“…183). For more details about sequence spaces see ( [1], [2], [3], [18], [19], [21], [22], [23], [24], [25]) and references therein. Let M be an Orlicz function and p = (p k ) be any sequence of strictly positive real numbers.…”

Some Paranormed Double Difference Sequence Spaces for Orlicz Functions and Bounded-Regular Matrices

“…We remark that for = 1 and = = 1, we obtain the sequence spaces which were introduced and studied by Et and Ç olak [20] and Kızmaz [19], respectively. For more details about sequence spaces see [21][22][23][24][25][26][27] and references therein.…”