Geodesic
Chebyshev's alternance in the approximation of constants by simple partial fractions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 270 (2010), pp. 86-96

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Uniform approximation of real constants by simple partial fractions on a closed interval of the real axis is studied. It is proved that a simple partial fraction of best approximation of degree $n$ for a constant is unique and coincides with this constant at $n$ nodes lying on the interval; moreover, there is a Chebyshev alternance consisting of $n+1$ points. 
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     author = {V. I. Danchenko and E. N. Kondakova},
     title = {Chebyshev's alternance in the approximation of constants by simple partial fractions},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {86--96},
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     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2010_270_a5/}
}
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V. I. Danchenko; E. N. Kondakova. Chebyshev's alternance in the approximation of constants by simple partial fractions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 270 (2010), pp. 86-96. http://geodesic.mathdoc.fr/item/TM_2010_270_a5/