Article
Convergence Results for R-Iterated Means of the Denominators of the Luroth Series
Authors
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
R. Giuliano, “Convergence results for r-iterated means of the denominators of the luroth series,” Uniform Distribution Theory, vol. 11, no. 2, pp. 179–203, 2016, doi: 10.1515/udt-2016-0020.
Giuliano R. Convergence results for r-iterated means of the denominators of the luroth series. Uniform Distribution Theory. 2016;11(2):179–203. doi:10.1515/udt-2016-0020.
Giuliano, R. (2016), ‘Convergence results for r-iterated means of the denominators of the luroth series’, Uniform Distribution Theory, 11(2), pp. 179–203. Available at: https://doi.org/10.1515/udt-2016-0020.
Giuliano, Rita. “Convergence Results for R-iterated Means of the Denominators of the Luroth Series.” Uniform Distribution Theory, vol. 11, no. 2, 2016, pp. 179–203. https://doi.org/10.1515/udt-2016-0020.
Giuliano, Rita. “Convergence Results for R-iterated Means of the Denominators of the Luroth Series.” Uniform Distribution Theory 11, no. 2 (2016): 179–203. https://doi.org/10.1515/udt-2016-0020.
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Published by: Engineering Journals


