Two new sequence spaces generated by the composition of mth order generalized difference matrix and lambda matrix
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume:
- Publication Date: 2014
- Doi Number: 10.1186/1029-242x-2014-274
- Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Recep Tayyip Erdoğan University Affiliated: No
Abstract
In this work, we introduce two sequence spaces c(0)(lambda) (G(m)) and c(lambda) (G(m)) generated by the composition of mth order generalized difference matrix and lambda matrix and define an isomorphism between new sequence spaces and classical sequence spaces. Afterward, we investigate inclusion relations and obtain the Schauder basis of those spaces. Furthermore, we determine their alpha-, beta-, and gamma-duals. Lastly, we characterize some matrix classes related to those spaces.