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On the rational Tschebyscheff operator. (English) Zbl 0206.07504


MSC:

41A50 Best approximation, Chebyshev systems
41A20 Approximation by rational functions

References:

[1] Achieser, N. I.: Vorlesungen über Approximationstheorie. Berlin: Akademieverlag 1953. · Zbl 0052.29002
[2] Cheney, E. W., andH. L. Loeb: Generalized Rational Approximations. I. Rep. of the Aerospace Corp. Los Angeles 1963.
[3] Loeb, H. L.: Notices of the American Math. Soc.11, 335 (1964).
[4] Maehly, H. J., andCh. Witzgall: Tschebyscheff-Approximationen in kleinen Intervallen II. Num. Math.2, 293-307 (1960). · doi:10.1007/BF01386230
[5] Werner, H.: Tschebyscheff-Approximation im Bereich der rationalen Funktionen bei Vorliegen einer guten Ausgangsnäherung. Arch. Rat. Mech. Anal.10, 205-219, (1962a). · Zbl 0171.37404 · doi:10.1007/BF00281188
[6] ?: Die konstruktive Ermittlung der Tschebyscheff-Approximierenden im Bereich der rationalen Funktionen. Arch. Rat. Mech. Anal.11, 368-384 (1962b). · Zbl 0171.37501 · doi:10.1007/BF00253944
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