Document Zbl 0311.41017

Tschebyscheff-Approximation durch \(\gamma\)-Polynome mit teilweise fixierten Frequenzen. (German) Zbl 0311.41017

J. Approximation Theory 15, 60-77 (1975).

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MSC:

41A50	Best approximation, Chebyshev systems
41A30	Approximation by other special function classes
41A10	Approximation by polynomials
41A20	Approximation by rational functions
11L03	Trigonometric and exponential sums (general theory)

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[1]	Braess, D., Chebyshev approximation by γ-polynomials I, J. Approximation Theory, 9, 20-43 (1973) · Zbl 0235.41007
[2]	Braess, D., Chebyshev approximation by γ-polynomials II, J. Approximation Theory, 11, 16-37 (1974) · Zbl 0235.41008
[3]	Braess, D., Die Konstruktion der Tschebyscheff-Approximierenden bei der Anpassung mit Exponentialsummen, J. Approximation Theory, 3, 261-273 (1970) · Zbl 0214.41301
[4]	Braess, D., Kritische Punkte bei der nichtlinearen Tschebyscheff-Approximation, Math. Z., 132, 327-341 (1973) · Zbl 0251.41010
[5]	Dunham, C. D., Chebyshev approximation by \(A + B\) log(1 + CX), J. Inst. Math. Appl., 8, 371-373 (1971) · Zbl 0226.41003
[6]	Dunham, C. D., J. Inst. Math. Appl., 10, 369-372 (1972) · Zbl 0249.41011
[7]	Karlin, S., (Total Positivity, Vol. I (1968), Stanford University Press: Stanford University Press Stanford) · Zbl 0219.47030
[8]	Meinardus, G., Über ein Problem von L. Collatz, Computing, 8, 250-254 (1971) · Zbl 0231.42002
[9]	Meinardus, G.; Schwedt, D., Nichtlineare Approximation, Arch. Rational Mech. Anal., 17, 297-326 (1964) · Zbl 0127.29001
[10]	Schmidt, E., Zur Kompaktheit bei Exponentialsummen, J. Approximation Theory, 3, 445-454 (1970) · Zbl 0212.09103
[11]	E. Schmidt; E. Schmidt
[12]	Werner, H., Tschebyscheff-Approximation with sums of exponentials, (Talbot, A., Approximation Theory (1970), Academic Press: Academic Press London) · Zbl 0214.07902
[13]	Wulbert, D., Uniqueness and differential characterization of approximations from manifolds of functions, Amer. J. Math., 93, 350-366 (1971) · Zbl 0227.41009
[14]	Braess, D., Rationale Interpolation, Normalität und Monosplines, Numer. Math., 22, 219-232 (1974) · Zbl 0281.65005

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