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

Ayman-Mursaleen Mohammad, Nasiruzzaman Md., Sharma Sunil K., Cai Qing-Bo

Demonstratio Mathematica

2024

Vol. 57, nr 1

art. no. 20240003

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.