Kyoto Journal of Mathematics

Continued fractional measure of irrationality

Jaroslav Hančl, Tapani Matala-aho, and Simona Pulcerová

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Abstract

This new concept of continued fractional measure of irrationality for the real number a is introduced with the help of the classical measure of irrationality. Some relationships between this new and the classical measures are included.

Article information

Source
Kyoto J. Math., Volume 50, Number 1 (2010), 33-40.

Dates
First available in Project Euclid: 13 April 2010

Permanent link to this document
https://projecteuclid.org/euclid.kjm/1271187736

Digital Object Identifier
doi:10.1215/0023608X-2009-002

Mathematical Reviews number (MathSciNet)
MR2629640

Zentralblatt MATH identifier
1221.11157

Subjects
Primary: 11J82: Measures of irrationality and of transcendence 11A55: Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15]

Citation

Hančl, Jaroslav; Matala-aho, Tapani; Pulcerová, Simona. Continued fractional measure of irrationality. Kyoto J. Math. 50 (2010), no. 1, 33--40. doi:10.1215/0023608X-2009-002. https://projecteuclid.org/euclid.kjm/1271187736


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