Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 11, Issue 2


Published
on

October 17, 2016


Pages

179-203


DOI

Article

Convergence Results for R-Iterated Means of the Denominators of the Luroth Series

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Authors

Rita Giuliano Affiliation:
Dipartimento di Matematica Universita di Pisa Largo Bruno Pontecorvo 5 I-56127 Pisa ITALY.


Abstract

In the present paper we extend two classic asymptotic results con- cerning convergence in probability and convergence in distribution for the deno- minators of the Luroth series and obtain new theorems concerning the same two kinds of convergence for the r-iterated arithmetic means of such denominators. These results are extended to r-iterated weighted means.


Keywords

Luroth series, convergence in probability, convergence in distribution, iterated.


Citation

Giuliano, R. (2016). Convergence results for r-iterated means of the denominators of the luroth series. Uniform Distribution Theory, 11(2), 179–203. https://doi.org/10.1515/udt-2016-0020

Published by: Engineering Journals

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