- Gazi University Journal of Science
- Vol: 33 Issue: 2
- Some Notes on the New Sequence Space b_p^(r,s) (D)
Some Notes on the New Sequence Space b_p^(r,s) (D)
Authors : Abdulcabbar Sönmez
Pages : 476-490
Doi:10.35378/gujs.522691
View : 9 | Download : 7
Publication Date : 2020-06-01
Article Type : Research
Abstract :In this paper, we describe the sequence space b_p^(r,s) (D) originated by the composition of the Binomial matrix and generalized second order difference (triple band) matrix and indicate that the space b_p^(r,s) (D) is linearly isomorphic to the space l_p, where 1≤p<∞. Moreover, we obtain some inclusion relations and Schauder basis of the space b_p^(r,s) (D). We also pinpoint α-, β- and γ-duals of the space b_p^(r,s) (D). Finally, we classify some matrix classes related to the space b_p^(r,s) (D).Keywords : Matrix Transformation, Matrix Domain, Schauder Basis, α- β- and γ-duals