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## Archive of Issues

Russia Nizhni Novgorod
Year
2015
Volume
25
Issue
3
Pages
297-305
 Section Mathematics Title On rational approximations of functions and eigenvalue selection in Werner algorithm Author(-s) Galkin O.E.a, Galkina S.Yu.a Affiliations Nizhni Novgorod State Universitya Abstract The paper deals with the best uniform rational approximations (BURA) of continuous functions on compact (and even finite) subsets of real axis $\mathbb{R}$.The authors show that BURA does not always exist. They study the algorithm of Helmut Werner in more detail. This algorithm serves to search for BURA of the type $P_m/Q_n = \sum\limits_{i=0}^m a_i x^i \big/ \sum\limits_{j=0}^n b_j x^j$ for functions on a set of $N=m+n+2$ points \$x_1<\ldots