On paranormed sequence space arising from Riesz Euler Totient matrix

In this paper, we introduce a novel paranormed sequence space $ \mathit{l} ({R_{\Phi}}, p) $ constructed through the application of the Riesz Euler Totient matrix. We demonstrate that the spaces $ \mathit{l} ({R_{\Phi}}, p) $ and $ \mathit{l} (p) $ are linearly isomorphic. In addition, we identify the dual spaces associated with this sequence space and establish its Schauder basis.

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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025510
Citations
1
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
2.63
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article

On paranormed sequence space arising from Riesz Euler Totient matrix

Pınar Zengin
1 citations
AIMS Mathematics
Approximation Theory and Sequence Spaces
2.63
article

On paranormed sequence space arising from Riesz Euler Totient matrix

Pınar Zengin
article en
1 citations

Abstract

In this paper, we introduce a novel paranormed sequence space $ \mathit{l} ({R_{\Phi}}, p) $ constructed through the application of the Riesz Euler Totient matrix. We demonstrate that the spaces $ \mathit{l} ({R_{\Phi}}, p) $ and $ \mathit{l} (p) $ are linearly isomorphic. In addition, we identify the dual spaces associated with this sequence space and establish its Schauder basis.

AIMS MathematicsVol. 10(5)
Düzce Üniversitesi (TR)
Openalex Percentile: Top 12%
Approximation Theory and Sequence Spaces
2.63
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On paranormed sequence space arising from Riesz Euler Totient matrix — Pınar Zengin · AIMS Mathematics (2025) | TGRS Research Map | TGRS