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arXiv · 2301.06827

On weak $I^K$-Cauchy sequences in normed spaces

Amar Kumar Banerjee·Mahendranath Paul
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Abstract

In this paper, we study on weak $I^K$-Cauchy condition as a generalization of weak $I^*$-Cauchy condition in a normed space. We investigate the relationship between weak $I$-Cauchy and weak $I^K$-Cauchy sequences using $AP(I,K)$-condition. Also we study on weak* $I^K$-Cauchy condition and weak $I^K$-divergence of sequences in the same space.

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BibTeXRIS

Amar Kumar Banerjee, Mahendranath Paul. 2023-01-17. On weak $I^K$-Cauchy sequences in normed spaces. https://arxiv.org/abs/2301.06827

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