Turkish Journal of Mathematics
Abstract
In this paper we mainly deal with $\mathcal{I}_{c}^{\left( q\right) }-$% convergence. In particular we study bounded multipliers of bounded $\mathcal{% I}_{c}^{\left( q\right) }-$convergent sequences. We also give some $\mathcal{% I}-$core results and characterize the inclusion $K-core\left \{ Ax\right \} \subseteq \mathcal{I}-core\left \{ x\right \} $ for bounded sequences $% x=\left( x_{n}\right) $.
DOI
10.3906/mat-2102-97
Keywords
Statistical convergence, ideal, ideal convergence, multipliers, Knopp's core theorem
First Page
1310
Last Page
1318
Recommended Citation
GÜLFIRAT, MUSTAFA and BAYRAM, NİLAY ŞAHİN
(2021)
"Multipliers and $\mathcal{I}$-core for sequences,"
Turkish Journal of Mathematics: Vol. 45:
No.
3, Article 14.
https://doi.org/10.3906/mat-2102-97
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss3/14
