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Some inequalities for diophantine approximation by continued fractions

Published online by Cambridge University Press:  17 April 2009

Jingcheng Tong
Jingcheng Tong
Affiliation:
Department of Mathematics and StatisticsUniversity of North FloridaJacksonville FL 32216United States of America
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Abstract

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Let ξ be an irrational number with simple continued fraction expansion ξ = [a0;a1,a2,…,an,…], let pn/qn be its nth convergent and let θn = qn|qnξ − pn|. In this paper a general method is introduced to deduce a series of inequalities involving the triple (θn−1, θn, θn+1).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 2 , April 1990 , pp. 249 - 253
Copyright
Copyright © Australian Mathematical Society 1990

References

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