Document Type : Research Paper

Author

Department of Mathematics, Faculty of Science, Firat University, 23119, Elazig, Turkey.

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.

Keywords

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