Some normed binomial difference sequence spaces related to the [Formula: see text] spaces

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] , r...

Descripción completa

Detalles Bibliográficos
Autores principales: Song, Meimei, Meng, Jian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5487949/
https://www.ncbi.nlm.nih.gov/pubmed/28680231
http://dx.doi.org/10.1186/s13660-017-1401-4
Descripción
Sumario: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 α-, β- and γ-duals of these sequence spaces.

Ejemplares similares