On some \(BV_\sigma\) I-convergent sequence spaces defined by modulus function

  • Abstract
  • Keywords
  • References
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  • 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.

  • Keywords

    Bounded variation; Invariant mean; \(\sigma\)-Bounded variation; Ideal; Filter; modulus function; I-convergence; I-null; symmetric space; Solid space; Sequence algebra.

  • References

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Article ID: 2161
DOI: 10.14419/gjma.v2i2.2161

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