SOME NEW SEQUENCE SPACES DERIVED BY THE COMPOSITION OF BINOMIAL MATRIX AND DOUBLE BAND MATRIX

Abdulcabbar Sönmez

doi:10.11948/2019.231

2019 Volume 9 Issue 1

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Abdulcabbar Sönmez. SOME NEW SEQUENCE SPACES DERIVED BY THE COMPOSITION OF BINOMIAL MATRIX AND DOUBLE BAND MATRIX[J]. Journal of Applied Analysis & Computation, 2019, 9(1): 231-244. doi: 10.11948/2019.231

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Abdulcabbar Sönmez. SOME NEW SEQUENCE SPACES DERIVED BY THE COMPOSITION OF BINOMIAL MATRIX AND DOUBLE BAND MATRIX[J]. Journal of Applied Analysis & Computation, 2019, 9(1): 231-244. doi: 10.11948/2019.231

SOME NEW SEQUENCE SPACES DERIVED BY THE COMPOSITION OF BINOMIAL MATRIX AND DOUBLE BAND MATRIX

Abdulcabbar Sönmez^,

Department Of Mathematics, Erciyes University, Talas Street, Melikgazi, 38039 Kayseri, Turkey

Corresponding author: Email somez@erciyes.edu.tr(A. Sönmez)

Abstract

Abstract

In this paper, we construct three new sequence spaces $ b^{{r,s}}_{0}(G) $, $ b^{{r,s}}_{c}(G) $ and $ b^{{r,s}}_{\infty}(G) $ and mention some inclusion relations, where $ G $ is generalized difference matrix. Moreover, we give Schauder basis of the spaces $ b^{{r,s}}_{0}(G) $ and $ b^{{r,s}}_{c}(G) $. Afterward, we determine $ \alpha- $, $ \beta- $ and $ \gamma- $duals of those spaces. Finally, we characterize some matrix classes related to the space $ b^{{r,s}}_{c}(G) $.
- Matrix transformations /
- matrix domain /
- schauder basis /
- α- /
- β- and γ-duals /
- matrix classes
MSC: 40C05, 40H05, 46B45

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References

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