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Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

On triple sequences spaces described by triple cubic maximal Foung functions

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pp. 459–464Vol. 29Issue 2February 2026DOI: 10.47974/JIM-2390XML
Received:
13 Aug 2025
Published Online:
13 Feb 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2390
Pages:
459–464

Abstract

In this work, we offer the triple sequences spaces defined by the triple cubic maximal Foung functions. Some academics defines the concept of an Orlicz function as follows: Let 𝓌:[0, ∞) → [0, ∞) is called the Orlicz function if it is a continuous, non-decreasing, convex function that satisfies the following properties: 𝓌(0) = 0, 𝓌(d) ≻ 0 for d ≻ 0, 𝓌(d) ⟶ ∞ as d⟶∞. Additionally, Foung function can be defined as follows: If ψ(L) = L 𝓌(L), where 𝓌 is an Orlicz function then ψ:[0,∞) → [0,∞)  is said to be Foung function. For the triple sequences’ spaces (ℓ𝓗)3 (𝓅), we illustrate some of their fundamental topological and algebraic properties, (ℓ𝓗)3 (𝓅) is complete space, and soon. We also discuss other properties to the space.

Keywords

Subject Classifications

13D07

References

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