概率度量空间中的强$\lambda$-统计和强vall - poussin预柯西序列

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-04-11 DOI:10.5556/J.TKJM.53.2022.3893

Argha Ghosh, Samiran Das

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引用次数: 2

摘要

在具有强拓扑的概率度量空间中引入了强$\ λ $-统计预柯西序列和强Vall´ee-Poussin预柯西序列的概念。我们证明这两个新概念是等价的。强$\ λ $-统计收敛序列是强$\ λ $-统计前柯西序列，我们给出了一个例子来证明在概率度量空间中存在一个序列是强$\ λ $-统计前柯西序列，但不是强$\ λ $-统计收敛序列。

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Strongly $\lambda$-Statistically and Strongly Vallée-Poussin Pre-Cauchy Sequences in Probabilistic Metric Spaces

We introduce the notions of strongly $\lambda$-statistically pre-Cauchy and strongly Vall´ee-Poussin pre-Cauchy sequences in probabilistic metric spaces endowed with strong topology. And we show that these two new notions are equivalent. Strongly $\lambda$-statistically convergent sequences are strongly $\lambda$-statistically pre-Cauchy sequences, and we give an example to show that there is a sequence in a probabilistic metric space which is strongly $\lambda$-statistically pre-Cauchy but not strongly $\lambda$-statistically convergent.

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.