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

Authors: MUSTAFA GÜLFIRAT, NİLAY ŞAHİN BAYRAM

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

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