Voronoi means, moving averages, and power series

Bingham, NH and Gashi, B (2017) Voronoi means, moving averages, and power series. Journal of Mathematical Analysis and Applications, 449 (01). pp. 682-696.

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Abstract

We introduce a non-regular generalisation of the Nörlund mean, and show its equivalence with a certain moving average. The Abelian and Tauberian theorems establish relations with convergent sequences and certain power series. A strong law of large numbers is also proved.

Item Type:	Article
Uncontrolled Keywords:	Voronoi means, Nörlund means, Moving averages, Power series, Regular variation, LLN
Depositing User:	Symplectic Admin
Date Deposited:	13 Dec 2016 10:11
Last Modified:	19 Jan 2023 07:24
DOI:	10.1016/j.jmaa.2016.12.004
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3004831