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

Journal: Sahand Communications in Mathematical Analysis (Vol.17, No. 3)

Publication Date:

Authors : ;

Page : 117-130

Keywords : Almost convergence; Matrix domain; $beta $-; $gamma $-duals; Matrix transformations;

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Abstract

The aim of the present work is to introduce the concept of $lambda _{r}$-almost convergence of sequences. We define the spaces $fleft( 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 $fleft( lambda _{r}right) $. Finally, we give the characterization of some matrix classes.

Last modified: 2021-11-03 14:28:17