Approximation by Several Rationals

Igor E. Shparlinski

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arXiv · 0707.3371

Approximation by Several Rationals

Igor E. Shparlinski

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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 a_1/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 q_1,..., q_n, one can improve a result of T. H. Chan by using a different approach.

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BibTeX RIS

Igor E. Shparlinski. 2007-07-23. Approximation by Several Rationals. https://arxiv.org/abs/0707.3371

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