Integrated and Differentiated Sequence Spaces and Weighted Mean
Murat Kirişci *
Department of Mathematical Education, Hasan Ali Yϋcel Education Faculty, Istanbul University-Cerrahpaşa, Vefa, 34470, Fatih, Istanbul, Turkey.
*Author to whom correspondence should be addressed.
Abstract
The purpose of this paper is twofold. Firstly, the new matrix domains are constructed with the new infinite matrices and some properties are investigated. Furthermore, dual spaces of new matrix domains are computed and matrix transformations are characterized. Secondly, examples between new spaces with classical sequence spaces and sequence spaces which are derived by an infinite matrix are given in the table form.
Keywords: Matrix domain, weighted mean, sequence spaces, BK-space, dual spaces, Schauder basis