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Information Journal Paper

Title

On the Spaces of $\lambda _{r}$-almost Convergent and $\lambda _{r}$-almost Bounded Sequences

Pages

  117-130

Keywords

$beta $- 
$gamma $-duals 

Abstract

 The aim of the present work is to introduce the concept of $\lambda _{r}$-Almost convergence of sequences. We define the spaces $f\left( \lambda _{r}\right) $ and $f_{0}\left( \lambda _{r}\right) $ of $ \lambda _{r}$-almost convergent and $\lambda _{r}$-almost null sequences. We investigate some inclusion relations concerning those spaces with examples and we determine the $\beta $- and $\gamma $-duals of the space $f\left( \lambda _{r}\right) $. Finally, we give the characterization of some matrix classes.

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