Document Zbl 0368.41029

Concertina-like movements of the error curve in the alternation theorem. (English) Zbl 0368.41029

Manuscr. Math. 22, 229-234 (1977).

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MSC:

41A65	Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
41A30	Approximation by other special function classes
41A50	Best approximation, Chebyshev systems

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References:

[1]	Cheney, E.W.: Introduction to Approximation Theory, McGraw-Hill, New York 1966. · Zbl 0161.25202
[2]	Karlin, S. and Studden, W.J.: Tchebychev Systems: With Applications in Analysis and Statistics, John Wiley and Sons, New York 1966. · Zbl 0153.38902
[3]	Streit, R.: Extremals and Zeros in Markov Systems are Monotone functions of one endpoint, J.Approximation Theory, to appear. · Zbl 0337.41025
[4]	Zielke, R.: On Transforming on Tchebyshev-System into a Markov-System. J.Approximation Theory, 9 (1973), 357-366. · Zbl 0273.41023 · doi:10.1016/0021-9045(73)90081-6
[5]	Zielke, R-: Alternation Properties of Tchebyshev-Systems and the Existence of adjoined functions, J.Approximation Theory, 10 (1974), 172-184. · Zbl 0273.41025 · doi:10.1016/0021-9045(74)90115-4
[6]	Zielke, R.: Tchebyshev-Systems that cannot be Transformed into Markov-Systems, Manuscripta Mathematica, 17 (1975), 67-71. · Zbl 0314.41023 · doi:10.1007/BF01154283

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