Work

New Sequence Spaces Derived From the Composition of Integrated and Differentiated Spaces and Binomial Matrix

Year: 2024

Type: article

Abstract: In this article, we construct new sequence spaces by combining the integrated and differentiated sequence spaces with the binomial matrix. We first construct the properties of these new sequence spaces and we examine some inclusion relations. Furthermore, we determine $\alpha-$, $\beta-$ and $\gamma-$ duals of the integrated and differentiated sequence spaces separately and provide proofs for some of them. Additionally, we characterize some matrix classes associated with these new sequence spaces, along with the obtained results. Finally, we investigate some geometric properties of new integrated sequence spaces.

Source: Turkish Journal of Mathematics and Computer Science

DOI: 10.47000/tjmcs.1321967

Author: Kübra Topal

Institution: Mi̇lli̇ Eği̇ti̇m Bakanliği

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405682844

FWCI:

Cites: 14

Cited by:

Related to: 10