A New Generalization of the Hahn Sequence Space via Speed Sequences λ = λk

Orhan TuÄŸ

Journal of Mathematics, 2025, vol. 2025, 1-8

Abstract: This paper investigates the properties and structural characteristics of the new Hahn sequence space defined through the speed sequence λ=λk. First, we define the new Hahn sequence space hλ with speed, where the speed sequence λ=λk is an unbounded monotone increasing sequence of positive real numbers. Then, we study some topological properties of the space hλ. Moreover, we show some inclusion relations pertaining to the space hλ and calculate the α−,β−, and γ−dual of the space hλ. Finally, we complete the paper with some matrix transformations from hλ into μ, where μ∈c0,c,l∞,l1,h,bv,bvp,bv∞,bs,cs,cs0, and from the space γ into hλ, where γ∈c0,c,l∞,l1,h,bv,bv0,bs,cs,cs0.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9633026

DOI: 10.1155/jom/9633026

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