TY - JOUR

T1 - Approximation by several rationals

AU - Shparlinski, Igor E.

N1 - 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

PY - 2008/4

Y1 - 2008/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=44949154379&partnerID=8YFLogxK

U2 - 10.1017/S0004972708000373

DO - 10.1017/S0004972708000373

M3 - Article

AN - SCOPUS:44949154379

VL - 77

SP - 325

EP - 329

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

SN - 0004-9727

IS - 2

ER -