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Tamsui Oxford Journal of Information and Mathematical Sciences Scopus

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篇名 Generalized Vector Valued Sequence Spaces Defined by Orlicz Functions
卷期 27:2
作者 Mahmut Işik
頁次 137-148
關鍵字 Orlicz functionSeminormSequence spaces
出刊日期 201105

中文摘要

英文摘要

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.

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