Core Theorems in The Generalized Statistical Sense

Authors : Emre TAŞ, Tugba YURDAKADİM

Pages : 16-21

View : 27 | Download : 22

Publication Date : 2018-06-30

Article Type : Research Paper

Abstract :The main purpose of the paper is to give some results concerning with the generalized statistical core of a bounded sequence via $\mathfrak{B}$-statistical convergence where $\mathfrak{B}=insert ignore into journalissuearticles values(B_{i});$ is a sequence of infinite matrices. We characterize the matrix class $insert ignore into journalissuearticles values(st_{\mathfrak{B}}\cap X,Y);$ for certain sequence spaces $X$ and $Y$. Here $st_{\mathfrak{B}}$ is the set of all $\mathfrak{B}$-statistically convergent sequences. Finally we answer the multipliers and factorization problem for $\mathfrak{B}$-statistically convergent sequences.
Keywords : Knopp core, generalized statistical convergence, \mathfrak B statistical limit superior and inferior