Fractional ordered Euler Riesz difference sequence spaces

Author
Jena, Diptimayee

Dutta, Salila

Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/5663
10.22199/issn.0717-6279-5663
Abstract
In this article we introduce new sequence spaces c0 (τ), c(τ) and l∞(τ) of fractional order τ , consisting of an operator which is a composition of Euler-Riesz operator and fractional difference operator. Certain topological properties of these spaces are investigated along with Schauder basis and α−, β− and γ−duals.
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