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On the space bv p (F) of sequences of p-bounded variation of fuzzy numbers

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Abstract

Recently, the space bv p of real or complex numbers consisting of all sequences whose differences are in the space ℓ p has been studied by Başar, Altay [Ukrainian Math. J. 55(1)(2003), 136–147], where 1 ≤ p ≤ ∞. The main purpose of the present paper is to introduce the space bv p (F) of sequences of p-bounded variation of fuzzy numbers. Moreover, it is proved that the space bv p (F) includes the space ℓ p (F) and also shown that the spaces bv p (F) and ℓ p (F) are isomorphic for 1 ≤ p ≤ ∞. Furthermore, some inclusion relations have been given.

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  1. Fen-Edebiyat Fakültesi, Matematik Bölümü, Fatih Üniversitesi, Büyükçekmece Kampüsü, 34500, İstanbul, Türkiye

    Özer Talo & Feyzi Basşar

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  1. Özer Talo
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  2. Feyzi Basşar
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Correspondence to Özer Talo.

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Talo, Ö., Basşar, F. On the space bv p (F) of sequences of p-bounded variation of fuzzy numbers. Acta. Math. Sin.-English Ser. 24, 1205–1212 (2008). https://doi.org/10.1007/s10114-007-6552-7

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  • DOI: https://doi.org/10.1007/s10114-007-6552-7

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