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Best approximation of the function \(| x|\) by rational functions of the form \(1/P_n(x)\). (English) Zbl 0303.41026


MSC:

41A50 Best approximation, Chebyshev systems
41A20 Approximation by rational functions
Full Text: DOI

References:

[1] B. Boehm, ?Convergence of best rational Chebyshev approximations,? Trans. Amer. Math. Soc.,115, No. 3, 388-399 (1965). · Zbl 0156.07101 · doi:10.1090/S0002-9947-1965-0199618-7
[2] N. I. Akhiezer, Lectures on the Theory of Approximation [in Russian], Gostekhizdat, Moscow (1965).
[3] A. A. Gonchar, ?Estimates of the growth of rational functions and some of their applications,? Matem. Sb.,72, No. 3, 489-503 (1967).
[4] V. L. Goncharov, Theory of Interpolation and Approximation of Functions [in Russian], Gostekhizdat, Moscow (1954). · Zbl 0057.29801
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