A theorem on approximation of irrational numbers by simple continued fractions

DOI10.1017/S001309150000331XzbMath0645.10008OpenAlexW2124164226MaRDI QIDQ3788073

Jing Cheng Tong

Publication date: 1988

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s001309150000331x

zbMATH Keywords

inequalitiesconvergentsasymmetric diophantine approximationsimple continued fraction expansionirrational real number

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Homogeneous approximation to one number (11J04)

Related Items (6)

Segre's theorem on asymmetric diophantine approximation ⋮ A note on asymmetric approximation ⋮ On the approximation by continued fractions. II ⋮ Diophantine approximation of a single irrational number ⋮ Symmetric and asymmetric Diophantine approximation of continued fractions ⋮ The Conjugate Property for Diophantine Approximation of Continued Fractions

Cites Work

• Diophantine approximation
• The conjugate property of the Borel theorem on diophantine approximation
• On asymmetric approximations
• Lattice points in infinite domains and asymmetric diophantine approximations
• Über die Approximation reeller Zahlen durch die Näherungsbrüche ihres regelmäßigen Kettenbruches
• Approximation by Continued Fractions
• Approximation Theorems of Borel and Fujiwara.
• Shorter Notes: Hurwitz' Theorem
• The critical numbers for unsymmetrical approximation
• Unsymmetrical approximation of irrational numbers
• Note on an asymmetric diophantine approximation
• On asymmetric diophantine approximations

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