Matrix Transformations into A New Sequence Space Related to Invariant Means

  • Ab Hamid Ganie
  • Neyaz Ahmad Sheikh
Keywords: Lacunary sequence, invariant means, almost lacunary convergence, matrix transformation

Abstract

In this paper we introduce the sequence space gif.latex?V_{\infty}(\theta) through the concept of invariant means and lacunary sequence space gif.latex?\theta=(k_{r}), show its completeness property and characterize the matrix classes gif.latex?(l_{\infty}:V_{\infty}(\theta)) and gif.latex?(l(p):V_{\infty}(\theta)).

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Published
2019-12-16
Section
Research Articles