@article {
author = {Ercan, Sinan},
title = {On the Spaces of $\lambda _{r}$-almost Convergent and $\lambda _{r}$-almost Bounded Sequences},
journal = {Sahand Communications in Mathematical Analysis},
volume = {17},
number = {3},
pages = {117-130},
year = {2020},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2019.111716.644},
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) $. Finally, we give the characterization of some matrix classes.},
keywords = {Almost convergence,Matrix domain,$beta $-,$gamma $-duals,Matrix transformations},
url = {http://scma.maragheh.ac.ir/article_40579.html},
eprint = {http://scma.maragheh.ac.ir/article_40579_85759bdb155dcfb274e7ac69b0e053fb.pdf}
}