| On the Space bvp（F） of Sequences of p-bounded Variation of Fuzzy Numbers |
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| 作者姓名： | Ozer TALO Feyzi BASAR |
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| 作者单位： | Fatih Universitesi, Fen-Edebiyat Fakultesi, Matematik Bolumu, Buyukfekmece Kampusu 34500- Istanbul, Turkiye |
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| 基金项目： | Acknowledgements We have benefited a lot from discussions with Prof. Dr. Bilal Altay, Matematik Egitimi Bolumu, Inonu Universitesi, Malatya-44280/Turkiye, about this work. We would like to express our gratitude for his many valuable comments and advices. |
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| 摘 要： | Recently, the space bvp of real or complex numbers consisting of all sequences whose differences are in the space lp has been studied by Basar, Altay Ukrainian Math. J. 55（1）（2003）, 136-147], where 1 ≤ p ≤ ∞. The main purpose of the present paper is to introduce the space bvp（F） of sequences of p-bounded variation of fuzzy numbers. Moreover, it is proved that the space bvp（F） includes the space lp（F） and also shown that the spaces bvp（F） and lp（F） axe isomorphic for 1 ≤ p ≤∞. Furthermore, some inclusion relations have been given.
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| 关 键 词： | 序列 模糊数据 差分 同形空间 |
On the space bv
p
(F) of sequences of p-bounded variation of fuzzy numbers |
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| Ozer TALO Feyzi BASAR.On the space bv
p
(F) of sequences of p-bounded variation of fuzzy numbers[J].Acta Mathematica Sinica,2008,24(7):1205-1212. |
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| Authors: | Özer Talo Feyzi Basşar |
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| Institution: | 1. Fen-Edebiyat Fakültesi, Matematik B?lümü, Fatih üniversitesi, Büyük?ekmece Kampüsü, 34500, ?stanbul, Türkiye
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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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| Keywords: | sequence of fuzzy numbers space of difference sequences isomorphic spaces and inclusion relations |
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