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arXiv · 2301.05828

Fractional ordered Euler Riesz sequence space

D. Jena·S. Dutta
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Abstract

The main objective of this article is to introduce Euler-Riesz difference sequence spaces of fractional order ${\tau} $ along with infinite matrices. Some topological properties of these spaces are considered here along with the Schauder basis, ${\alpha} -,\beta -$ and $\gamma -$duals of the spaces. Keywords: Euler-Riesz difference sequence space, difference operator $\left(\Delta ^{\tau} \right)$, Schauder basis, infinite matrices and ${\alpha} -,\beta -$ and $\gamma -$duals .

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D. Jena, S. Dutta. 2023-01-14. Fractional ordered Euler Riesz sequence space. https://arxiv.org/abs/2301.05828

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