Song Meimei, Meng Jian
Department of Mathematics, Tianjin University of Technology, Tianjin, 300000 P.R. China.
J Inequal Appl. 2017;2017(1):128. doi: 10.1186/s13660-017-1401-4. Epub 2017 Jun 2.
The aim of this paper is to introduce the normed binomial sequence spaces [Formula: see text] by combining the binomial transformation and difference operator, where [Formula: see text]. We prove that these spaces are linearly isomorphic to the spaces [Formula: see text] and [Formula: see text], respectively. Furthermore, we compute Schauder bases and the -, - and -duals of these sequence spaces.
本文旨在通过结合二项式变换和差分算子引入赋范二项式序列空间[公式：见原文]，其中[公式：见原文]。我们证明这些空间分别与空间[公式：见原文]和[公式：见原文]线性同构。此外，我们计算了这些序列空间的绍德尔基以及它们的 - 、 - 和 - 对偶空间。
