Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 6, Issue 1


Published
on

January 28, 2010


Pages

65-78


DOI

Article

On Moving Averages and Continued Fractions


Authors

Hailiza Kamarul Haili Affiliation:
School of Mathematical Sciences Universiti Sains Malaysia 11800 USM Pulau Pinang MALAYSIA
and Radhakrishnan Nair Affiliation:
Entesar Nasr Department of Mathematical Sciences University of Liverpool Mathematical Sciences Building Liverpool L69 7ZL UNITED KINGDOM


Abstract

We use the moving average ergodic theorem to derive various re- sults concerning moving averages of continued fractions previously known only for non-moving averages and then derived using the pointwise ergodic theorem.


Keywords

Dynamical system, ergodic, continued fraction, partial quotient, convergent.


Citation

Haili, H. K. & Nair, R. (2011). On moving averages and continued fractions. Uniform Distribution Theory, 6(1), 65–78.

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