%0 Journal Article
%T On the Spaces of $lambda _{r}$-almost Convergent and $lambda _{r}$-almost Bounded Sequences
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Ercan, Sinan
%D 2020
%\ 07/01/2020
%V 17
%N 3
%P 117-130
%! On the Spaces of $lambda _{r}$-almost Convergent and $lambda _{r}$-almost Bounded Sequences
%K Almost convergence
%K Matrix domain
%K $beta $-
%K $gamma $-duals
%K Matrix transformations
%R 10.22130/scma.2019.111716.644
%X 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.
%U https://scma.maragheh.ac.ir/article_40579_85759bdb155dcfb274e7ac69b0e053fb.pdf