Approximation by several rationals

Igor E. Shparlinski

doi:10.1017/S0004972708000373

Approximation by several rationals

Igor E. Shparlinski

School of Computing

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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,...,a_n/q_n with smaller denominators. We show that in the special cases of n=3 and n=4 and certain admissible ranges for the denominators q₁,...,q_n, one can improve a result of T. H. Chan by using a different approach.

Original language	English
Pages (from-to)	325-329
Number of pages	5
Journal	Bulletin of the Australian Mathematical Society
Volume	77
Issue number	2
DOIs	https://doi.org/10.1017/S0004972708000373
Publication status	Published - 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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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.",

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Approximation by several rationals

Abstract

Bibliographical note

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