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

  • Authors

    • Vakeel.A. Khan
    • Ayhan Esi Adiyaman University, Science and Art Faculty, Department of Mathematics, 02040, Adiyaman, Turkey
    • Mohd Shafiq
    2014-03-16
    https://doi.org/10.14419/gjma.v2i2.2161
  • Bounded variation, Invariant mean, \(\sigma\)-Bounded variation, Ideal, Filter, modulus function, I-convergence, I-null, symmetric space, Solid space, Sequence algebra.
  • 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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    Khan, V., Esi, A., & Shafiq, M. (2014). On some \(BV_\sigma\) I-convergent sequence spaces defined by modulus function. Global Journal of Mathematical Analysis, 2(2), 17-27. https://doi.org/10.14419/gjma.v2i2.2161