Abstract
Each polynomial hypergroup on ℕ0 generates a family of generalized translation operators T m on sequence spaces. We introduce the concept of almost convergence for polynomial hypergroups (determined by the operators T m ), extending the notion of almost convergence introduced by Lorentz. Our investigations lead to two theorems characterizing almost convergent sequences on polynomial hypergroups.
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Lasser, R. Almost-convergent sequences with respect to polynomial hypergroups. Acta Math Hung 138, 127–139 (2013). https://doi.org/10.1007/s10474-012-0227-2
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DOI: https://doi.org/10.1007/s10474-012-0227-2