Article
Some Metrical Results on the Approximation by Continued Fractions
Authors
Abstract
Let x be a real irrational number and pn/qn, n = 1, 2, . . . its sequence of continued fraction convergents. Define dn = qn+1qnx − pn. For almost all x the distribution functions of the sequencesdn − dn+1and dn + dn+1 are determined.
Keywords
Continued fraction, convergent, distribution function.
Citation
Jager, H. (2011). Some metrical results on the approximation by continued fractions. Uniform Distribution Theory, 6(2), 131–141.
H. Jager, “Some metrical results on the approximation by continued fractions,” Uniform Distribution Theory, vol. 6, no. 2, pp. 131–141, 2011.
Jager H. Some metrical results on the approximation by continued fractions. Uniform Distribution Theory. 2011;6(2):131–141.
Jager, H. (2011), ‘Some metrical results on the approximation by continued fractions’, Uniform Distribution Theory, 6(2), pp. 131–141.
Jager, Hendrik. “Some Metrical Results on the Approximation by Continued Fractions.” Uniform Distribution Theory, vol. 6, no. 2, 2011, pp. 131–141.
Jager, Hendrik. “Some Metrical Results on the Approximation by Continued Fractions.” Uniform Distribution Theory 6, no. 2 (2011): 131–141.
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Published by: Engineering Journals
