Article Title

Multipliers and $\mathcal{I}$-core for sequences

Authors

MUSTAFA GÜLFIRAT
NİLAY ŞAHİN BAYRAM

DOI

10.3906/mat-2102-97

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) $.

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