篇名 | Generalized Vector Valued Sequence Spaces Defined by Orlicz Functions |
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卷期 | 27:2 |
作者 | Mahmut Işik |
頁次 | 137-148 |
關鍵字 | Orlicz function 、 Seminorm 、 Sequence spaces |
出刊日期 | 201105 |
In this paper we introduce the vector valued sequence spaces w0(M,θ,∆m,Q,p,u),w1(M,θ,∆m,Q,p,u),w∞(M,θ,∆m,Q,p,u) and Sθ(∆muq) using an Orlicz function, the generalized difference operator ∆m and the multiplier sequence u=(uk) of non-zero complex numbers. We give some relations related to these sequence spaces. It is also shown that if a sequence is strongly lacunary ∆muq ─ Cesàro summable with respect to the Orlicz function M then it is ∆muq statistically convergent.