Sequences of Cesaro type using lacunary notion

نویسندگان

1 Basic Science Department, College of Science and Theoretical Studies, Saudi Electronic University-Abha Male, 61421, Kingdom of Saudi Arabia

doi
10.22075/ijnaa.2021.21237.2242
چکیده

The scenario  of this article is to introduce the space $\mathfrak{R}^{t}_s(p, \Delta)$  based on a general Riesz sequence space. Its completeness property is derived and its linear isomorphism property with $\ell(p)$ is proved. The K\"{o}the-dual property of the space $\mathfrak{R}^{t}_s(p, \Delta)$ is also derived. Furthermore, its basis is constructed and some characterization of infinite matrices are given.