On some binomial [Formula: see text] -difference sequence spaces

In this paper, we introduce the binomial sequence spaces [Formula: see text] , [Formula: see text] and [Formula: see text] by combining the binomial transformation and difference operator. We prove the BK-property and some inclusion relations. Furthermore, we obtain Schauder bases and compute the α-...

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Detalles Bibliográficos
Autores principales: Meng, Jian, Song, Meimei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5569914/
https://www.ncbi.nlm.nih.gov/pubmed/28890632
http://dx.doi.org/10.1186/s13660-017-1470-4
Descripción
Sumario:In this paper, we introduce the binomial sequence spaces [Formula: see text] , [Formula: see text] and [Formula: see text] by combining the binomial transformation and difference operator. We prove the BK-property and some inclusion relations. Furthermore, we obtain Schauder bases and compute the α-, β- and γ-duals of these sequence spaces. Finally, we characterize matrix transformations on the sequence space [Formula: see text] .

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