On some (BV_sigma) I-convergent sequence spaces defined by modulus function

摘要

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.