Work

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

Year: 2023

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2301.06827

Authors: Banerjee, Amar Kumar, Paul, Mahendranath

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4317464224

Cites:

Cited by:

Related to: 10