Approximation by several rationals

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Abstract

Following T. H. Chan, we consider the problem of approximation of a given rational fraction a/q by sums of several rational fractions a1/q 1,...,an/qn with smaller denominators. We show that in the special cases of n=3 and n=4 and certain admissible ranges for the denominators q1,...,qn, one can improve a result of T. H. Chan by using a different approach.

Original languageEnglish
Pages (from-to)325-329
Number of pages5
JournalBulletin of the Australian Mathematical Society
Volume77
Issue number2
DOIs
Publication statusPublished - Apr 2008

Bibliographical note

Copyright 2008 Cambridge University Press. Article originally published in Bulletin of the Australian Mathematical Society, Volume 77, Issue 2, pp. 325-329. The original article can be found at http://dx.doi.org/10.1017/S0004972708000373

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