Invariant means and lacunary sequence spaces of order (α, β)

In this article, we use the notion of lacunary statistical convergence of order (α, β), to introduce new sequence spaces by lacunary sequence, invariant means defined by Musielak-Orlicz function M = (ℵk). We also examine some topological properties and prove inclusion relations between newly constructed sequence spaces.

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Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).