CONVERGENCE OF COMPLEX UNCERTAIN TRIPLE SEQUENCE VIA METRIC OPERATOR, p-DISTANCE AND COMPLETE CONVERGENCE

Birojit Das
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Abstract

In this paper, we have introduced three new types of convergence concepts, namely convergence in p-distance, completely convergence and convergence in metric by considering triple sequences of complex uncertain variable. We have established the interrelationships among these notions and also with the existing ones. In this process, we have proven that the notions of convergence in metric and convergence in almost surely are equivalent in nature. Overall, this study presents a more complete scenario of interconnections between the notions of convergences initiated in different directions.
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复不确定三重序列的度量算子、p距离和完全收敛性
本文在考虑复不确定变量三重序列的情况下,引入了三种新的收敛概念,即p距离收敛、完全收敛和度量收敛。我们已经建立了这些概念之间的相互关系,以及与现有概念之间的相互关系。在这个过程中,我们证明了度量中的收敛和度量中的收敛在本质上几乎肯定是等价的。总的来说,这项研究提出了一个更完整的场景,在不同方向发起的融合概念之间的相互联系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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