A note on approximation efficiency and partial quotients of Engel continued fractions

DOI10.1142/S1793042117501329zbMath1428.11138OpenAlexW2611938914MaRDI QIDQ4595075

Yueli Yu, Yanfen Zhao, Hui Hu

Publication date: 28 November 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042117501329

zbMATH Keywords

Hausdorff dimensionbest approximationpartial quotientEngel continued fraction

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Continued fractions (11A55)

Related Items (1)

Hausdorff dimension of certain sets arising in Engel continued fractions

Cites Work

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• The efficiency of approximating real numbers by Lüroth expansion
• THE SETS OF DIFFERENT CONTINUED FRACTIONS WITH THE SAME PARTIAL QUOTIENTS
• On the fractional dimension of sets of continued fractions
• A dimensional result in continued fractions
• A PROBLEM IN THE FRACTIONAL DIMENSION THEORY OF CONTINUED FRACTIONS

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