Abstract
For a given irrational number, we consider the properties of best rational approximations of given parities. There are three different kinds of rational numbers according to the parity of the numerator and denominator, say odd/odd, even/odd, and odd/even rational numbers. We study algorithms to find best approximations by rational numbers of given parities and compare these algorithms with continued fraction expansions.
Original language | English |
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Article number | e12285 |
Journal | Mathematika |
Volume | 71 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2025 |