Voronoi means, moving averages, and power series
File(s)Voronoi.pdf (296.64 KB)
Accepted version
Author(s)
Bingham, NH
Gashi, B
Type
Journal Article
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.
Date Issued
2016-12-06
Date Acceptance
2016-12-01
Citation
Journal of Mathematical Analysis and Applications, 2016, 449 (1), pp.682-696
ISSN
1096-0813
Publisher
Elsevier
Start Page
682
End Page
696
Journal / Book Title
Journal of Mathematical Analysis and Applications
Volume
449
Issue
1
Copyright Statement
© 2016 Elsevier Inc. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Voronoi means
Norlund means
Moving averages
Power series
Regular variation
LLN
TAUBERIAN-THEOREMS
GENERALIZED NORLUND
SUMMABILITY METHODS
RANDOM-VARIABLES
CONVERGENCE-RATES
VARYING FUNCTIONS
WEIGHTED SUMS
LARGE NUMBERS
STRONG LAW
J,PN
General Mathematics
0101 Pure Mathematics
0102 Applied Mathematics
0906 Electrical And Electronic Engineering
Publication Status
Published