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Rational approximations to certain numbers
Authors:B. G. Tasoev
Affiliation:(1) Institute of Applied Mathematics and Computer Science, State Scientific Center of the Republic of North Osetiya-Alaniya, USSR
Abstract:The exact order of approximation to certain numbers by rational numbers is established. The basic tool for this purpose is an expansion in regular continued fractions. Some new such expansions are also derived. Translated fromMatematicheskie Zametki, Vol. 67, No. 6, pp. 931–937, June, 2000.
Keywords:rational approximation  continued-fraction expansion  Euler expansion  Fibonacci sequence
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