On the approximation of quadratic algebraic numbers
Copyright policy )On the approximation of quadratic algebraic numbers
In the paper we construct such second order linear recursive sequences G and H of rational integers that with their terms |a -Gn+1 /H n| < 1/ (\sqrtvDH2n) holds for every positive integer n, where a denotes a real quadratic algebraic integer of discriminant D. An approximating sequence of the form Gn+1 /Hn is also given for a if it is only a real quadratic algebraic number (not an algebraic integer), but in this case the approximating constant is not the best.
measure of approximation, Approximation to algebraic numbers, Recurrences, quadratic algebraic numbers, approximation, best approximation, linear recurrence
measure of approximation, Approximation to algebraic numbers, Recurrences, quadratic algebraic numbers, approximation, best approximation, linear recurrence
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!