Almost-convergent sequences with respect to polynomial hypergroups

Rupert Lasser

doi:10.1007/s10474-012-0227-2

Almost-convergent sequences with respect to polynomial hypergroups

Rupert Lasser

Department of Mathematics

Helmholtz Zentrum München German Research Center for Environmental Health

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	127-139
Number of pages	13
Journal	Acta Mathematica Hungarica
Volume	138
Issue number	1-2
DOIs	https://doi.org/10.1007/s10474-012-0227-2
State	Published - Jan 2013

Keywords

almost convergence
amenability
hypergroup
orthogonal polynomial

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10.1007/s10474-012-0227-2

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Almost-convergent sequences with respect to polynomial hypergroups

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Keywords

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