Abstract
In this article we introduce and study \(_{0}BV^I_\sigma(f)\), \(BV^I_{\sigma}(f)\) and \(_{\infty}BV^I_{\sigma}(f)\) sequence spaces with the help of \(BV_\sigma\) [see [23]] and a modulus function $f$. We study topological, algebraic properties and some inclusion relations on these sequence spaces.
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