Variations on statistical quasi Cauchy sequences
In this paper, we introduce a concept of statistically $p$-quasi-Cauchyness of a real sequence in the sense that a sequence $(\alpha_{k})$ is statistically $p$-quasi-Cauchy if $\lim_{n\rightarrow\infty}\frac{1}{n}|\{k\leq n: |\alpha_{k+p}-\alpha_{k}|\geq{\varepsilon}\}|=0$ for each $\varepsilon>0...
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Format: | Article |
Language: | English |
Published: |
Sociedade Brasileira de Matemática
2019-02-01
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Series: | Boletim da Sociedade Paranaense de Matemática |
Subjects: | |
Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/39991 |