Approximation by Several Rationals

نویسنده

  • Igor E. Shparlinski
چکیده

Following T. H. Chan, we consider the problem of approximation of a given rational fraction a/q by sums of several rational fractions a1/q1, . . . , 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. 2000 Mathematics Subject Classification: 11J04, 11N25

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تاریخ انتشار 2008