集合序列的渐近缺i - σ-等价

Karaelmas Science and Engineering Journal Pub Date : 2020-06-15 DOI:10.7212/zkufbd.v10i1.1503

Uǧur Ulusu, Esra Gülle

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引用次数: 1

摘要

本文引入了集合序列的Wijsman渐近强p-缺不变等价([W_(N_σθ)^L]_p)、Wijsman渐近缺I-缺不变等价(W_(I_σθ)^L)和Wijsman渐近缺I^*-缺不变等价(W_(I_σθ^*)^L)等概念。研究了Wijsman渐近缺不变等价、Wijsman渐近缺不变统计等价、[W_(N_σθ)^L]_p、W_(I_σθ)^L、W_(I_σθ^*)^L等概念之间的关系。

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Asymptotically lacunary I_σ-equivalence of sequences of sets

In this study, we introduce the notions of Wijsman asymptotically strongly p-lacunary invariant equivalence ([W_(N_σθ)^L ]_p), Wijsman asymptotically lacunary I-invariant equivalence (W_(I_σθ)^L) and Wijsman asymptotically lacunary I^*-invariant equivalence (W_(I_σθ^*)^L) for sequences of sets. Also, the relationships among the notions of Wijsman asymptotically lacunary invariant equivalence, Wijsman asymptotically lacunary invariant statistical equivalence, [W_(N_σθ)^L ]_p, W_(I_σθ)^L and W_(I_σθ^*)^L are investigated.

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Karaelmas Science and Engineering Journal

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