On duals of certain types of sequence spaces of complex uncertain variable

Abstract Uncertainty theory has significantly advanced and expanded over the past ten years. In this article, we introduce the notions of uncertain α-dual, uncertain β-dual and uncertain γ-dual of complex uncertain sequence spaces. Convergence and boundedness of complex uncertain sequences are taken in the sense of almost surely due to B. Liu and then few characterizations of the newly introduced uncertain dual spaces are established. Furthermore, our goal is to propose and establish inclusion relations within these sequence spaces.

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Publication Details

Journal
Journal of Applied Analysis
Published
2025-05-29
DOI
https://doi.org/10.1515/jaa-2024-0158
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
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article

On duals of certain types of sequence spaces of complex uncertain variable

Birojit Das, Ömer Kisi, Carlos G̃ranados, Binod Chandra Tripathy
Journal of Applied Analysis
Approximation Theory and Sequence Spaces
article

On duals of certain types of sequence spaces of complex uncertain variable

Birojit Das, Ömer Kisi, Carlos G̃ranados, Binod Chandra Tripathy
article en

Abstract

Abstract Uncertainty theory has significantly advanced and expanded over the past ten years. In this article, we introduce the notions of uncertain α-dual, uncertain β-dual and uncertain γ-dual of complex uncertain sequence spaces. Convergence and boundedness of complex uncertain sequences are taken in the sense of almost surely due to B. Liu and then few characterizations of the newly introduced uncertain dual spaces are established. Furthermore, our goal is to propose and establish inclusion relations within these sequence spaces.

Journal of Applied Analysis
Bartin University (TR), Universidad de Antioquia (CO), Tripura University (IN)
Reduced inequalities
Openalex Percentile: Top 88%
Approximation Theory and Sequence Spaces
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