If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text. In this paper it is shown how these asymptotic frequencies can be determined for two other semi-regular cases. It appears that the optimal continued fraction has a similar distribution of only two asymptotic frequencies, albeit with different values.
The six different values that are found in the case of the nearest integer continued fraction will show to be closely related to those of the optimal continued fraction. Source Tohoku Math. Zentralblatt MATH identifier Keywords Continued fractions metric theory. Jonge, Jaap de; Kraaikamp, Cor. Three consecutive approximation coefficients: asymptotic frequencies in semi-regular cases. Tohoku Math. Advertisement Hide.
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