| Donka Kalawathi†, Binod Chandra Tripathy‡
Abstract: In this paper, we apply the concept of difference operators to sequence spaces in the framework of uncertainty theory. Using these concepts, we introduce new classes of convergent difference sequences spaces involving bi-complex uncertain variables, and we examine their algebraic and topological properties, including linearity and normed space structures. Furthermore, we establish inclusion relations among these spaces, particularly strict inclusion Δn−1 ⊂ Δn, and examine important structural characteristics such as solidity, monotonicity, convergence-free, sequence algebra and symmetry, showing that these properties generally do not hold. We also study convergence relations and implications associated with the newly defined sequence spaces. Several results and examples are provided to support the developed theory. Keywords: bi-complex uncertain variable, convergence, difference sequence space, solid space, symmetric space. MSC: 40A05, 40A30, 40C15, 40F05, 60B10, 60D05, 60E15, 60F15. DOI 10.56082/annalsarscimath.2026.4.19 Read full article *Accepted for publication on July 01, 2026 |
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application,
ISSN ONLINE 2066 – 6594
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