Abstract
A Remez algorithm with simultaneous exchanges is described for minimax approximation with Lagrange-type interpolation by varisolvent families, in particular, families of Meinardus and Schwedt.
Zusammenfassung
Es wird ein Remez-Algorithmus zur Minimax-Approximation beschrieben. Er benützt gleichzeitigen Austausch und Lagrange-Interpolation für varisolvente Familien, insbesondere für die Familien von Meinardus und Schwedt.
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References
Barrar, R., Loeb, H.: Best non-linear uniform approximation with interpolation. Arch. Rat. Mech. Anal.33, 231–237 (1969).
Dunham, C. B.: Chebyshev approximation with respect to a weight function. J. Approximation Theory2, 223–232 (1969).
Fraser, W., Hart, J. F.: On the computation of rational approximations to continuous functions. Comm. ACM5, 401–404 (1962).
Meinardus, G.: Approximation of functions: Theory and numerical methods. Berlin-Heidelberg-New York: Springer 1967.
Chalmers, B. L., Taylor, G. D.: Uniform approximation with constraints. Jber. Deutsch Math.-Verein81, 49–86 (1969).
Loeb, H., Moursund, D., Schumaker, L., Taylor, G.: Uniform generalized weight function polynomial approximation with interpolation. SIAM J. Numer. Anal.6, 284–293 (1969).
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Dunham, C.B. Remez algorithm for Chebyshev approximation with interpolation. Computing 28, 75–78 (1982). https://doi.org/10.1007/BF02237998
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DOI: https://doi.org/10.1007/BF02237998