Rovba, E. A. On rational interpolation of the function \(| x|\). (Russian. English summary) Zbl 0687.41021 Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1989, No. 5, 39-46 (1989). Summary: The estimates of approximation functions \(| x|\) at a segment [- 1,1] by interpolation rational functions at the Chebyshev-Markov nodes are obtained. The case of a fixed number of geometrically different poles is studied in detail. With some limitations on the poles the estimates obtained are accurate in order. Cited in 2 ReviewsCited in 1 Document MSC: 41A20 Approximation by rational functions 41A05 Interpolation in approximation theory Keywords:Chebyshev-Markov nodes PDFBibTeX XMLCite \textit{E. A. Rovba}, Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1989, No. 5, 39--46 (1989; Zbl 0687.41021)