TY - JOUR
ID - 40579
TI - On the Spaces of $\lambda _{r}$-almost Convergent and $\lambda _{r}$-almost Bounded Sequences
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Ercan, Sinan
AD - Department of Mathematics, Faculty of Science, Firat University, 23119, Elazig, Turkey.
Y1 - 2020
PY - 2020
VL - 17
IS - 3
SP - 117
EP - 130
KW - Almost convergence
KW - Matrix domain
KW - $beta $-
KW - $gamma $-duals
KW - Matrix transformations
DO - 10.22130/scma.2019.111716.644
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_40579.html
L1 - https://scma.maragheh.ac.ir/article_40579_066143a7d10937a4e6abbbf977cc82f6.pdf
ER -