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Almost Convergence of Complex Uncertain Triple Sequences
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences ( IF 0.8 ) Pub Date : 2020-11-13 , DOI: 10.1007/s40010-020-00721-w
Birojit Das , Binod Chandra Tripathy , Piyali Debnath , Jagannath Nath , Baby Bhattacharya

In this paper, we present the concept of complex uncertain triple sequences and study almost convergence therein. Almost convergence with respect to all five aspects in uncertain space, viz., almost convergence in mean, measure, distribution, almost surely and uniformly almost surely, are initiated and interrelationships among them are established. We have also studied almost Cauchy triple sequence of complex uncertain variables and established some results. It is known that every convergent sequence is a Cauchy sequence but the converse is not true in general. But taking complex uncertain variables in triple sequences, we find that a complex uncertain triple sequence is an almost Cauchy sequence if and only if it is almost convergent.



中文翻译:

不确定的三元序列的几乎收敛

在本文中,我们提出了复杂的不确定三重序列的概念,并研究了其中的几乎收敛性。关于不确定空间中所有五个方面的几乎收敛,即均值,度量,分布的几乎收敛,几乎肯定地和均匀地几乎确定地,并在它们之间建立了相互关系。我们还研究了复杂不确定变量的几乎柯西三重序列,并建立了一些结果。众所周知,每个会聚序列都是柯西序列,但是通常情况并非如此。但是,以三重序列中的复杂不确定变量为例,我们发现,当且仅当它几乎收敛时,复杂的不确定三重序列才是几乎柯西序列。

更新日期:2020-11-13
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