A New Sequence Space b_p^{r,s}(Q)

Year 2026, Volume: 7 Issue: 1, 91 - 109, 31.01.2026

Kübra Topal

Abstract

In this work, we introduce a new sequence space constructed wia the composition of quadruple band matrix and the binomial matrix. Where, we symbolize the quadruple band matrix with Q and the new sequence space defined with b_p^{r,s}(Q) . We first show that the space b_p^{r,s}(Q) is linearly isomorphic to the classical space lp and we examine several inclusion relations concerning this space. Moreover, we establish Schauder basis of the space b_p^{r,s}(Q) and determine its the α−, β− and γ− duals. Lastly, we characterize certain matrix classes associated with the space b_p^{r,s}(Q).

Keywords

Matrix Transformations , Matrix Domain , Schauder Basis , α− β− and γ−Duals , Matrix Classes

Ethical Statement

The author declares that the materials and methods used in her study do not require ethical committee and legal special permission.

Thanks

I would like to express my thanks to the anonymous reviewers for their valuable comments.

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