Document Zbl 0314.41023

Tchebyshev systems that cannot be transformed into Markov systems. (English) Zbl 0314.41023

Manuscr. Math. 17, 67-71 (1975).

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MSC:

41A65	Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
41A50	Best approximation, Chebyshev systems

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References:

[1]	Hadeler, K.P.: Remarks on Haar systems. J.Appr.Th. 7, 59-62, 1973. · Zbl 0247.41013 · doi:10.1016/0021-9045(73)90052-X
[2]	Karlin, S. and W.J.Studden: Tchebyshev systems: With applications in analysis and statistics. John Wiley and Sons, 1966. · Zbl 0153.38902
[3]	Nemeth, A.B.: Transformations of the Chebyshev Systems. Mathematica (Cluj) 8, 315-333, 1966. · Zbl 0171.31101
[4]	Nemeth, A.B.: About the extension of the domain of definition of the Chebyshev systems defined on intervals of the real axis. Mathematica (Cluj) 11 (1969), 307-310. · Zbl 0195.35101
[5]	Obreschkoff, N.: Verteilung und Berechnung der Nullstellen reeller Polynome. VEB Deutscher Verlag d. Wiss., Berlin, 1966.
[6]	Volkov, V.I.: Some properties of Chebyshev systems, Kalinin Gos. Ped. Inst. Uc. Zap. 26, 41-48, 1958.
[7]	Zielke, R.: On transforming a Tchebyshev-system into a Markov-system. J. of Appr. Th., 9 (1973), 357-366. · Zbl 0273.41023 · doi:10.1016/0021-9045(73)90081-6
[8]	Zie1ke, P.: Alternation properties of Tchebyshev-systems and the existence of adjoined functions, 10 (1974), 172-184 · Zbl 0273.41025

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