Rational approximations to certain numbers
Received: 22 September 1999 DOI:
Cite this article as: Tasoev, B.G. Math Notes (2000) 67: 786. doi:10.1007/BF02675633 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.
Key words rational approximation continued-fraction expansion Euler expansion Fibonacci sequence
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