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Discrete nonlinear approximation. (English) Zbl 0286.41018


MSC:

41A45 Approximation by arbitrary linear expressions
41A30 Approximation by other special function classes
Full Text: DOI

References:

[1] Hobby, C. R.; Rice, J. R., Approximation from a Curve of Functions, Arch. Rat. Mech. Anal., 24, 91-106 (1967) · Zbl 0187.32602
[2] de Boor, C., On the approximation by γ-polynomials, (Schoenberg, I. J., Approximation with Special Emphasis on Spline Functions (1969)), 157-183, New York · Zbl 0273.41014
[3] Barrar, R. B.; Loeb, H. L., On the Existence of Closest Points for Nonlinear Approximating Families, Z. Hamburger Abhandlungen, 36, 33-41 (1971) · Zbl 0224.41005
[4] Barrar, R. B.; Loeb, H. L., Nonlinear \(L_p\) Approximation, J. Math. Anal. Appl., 40, 427-435 (1972) · Zbl 0243.41017
[5] Karlin, S., (Total Positivity, Vol. 1 (1968), Stanford University Press: Stanford University Press Stanford, California) · Zbl 0219.47030
[6] Karlin, S.; Studden, W., Tchebycheff Systems: With applications in Analysis and Statistics (1966), Interscience: Interscience New York · Zbl 0153.38902
[7] Barrar, R. B.; Loeb, H. L., On the Convergence in Measure of Nonlinear Tchebyscheff Approximations, Numer. Math., 14, 305-312 (1970) · Zbl 0192.42003
[8] Polya, G.; Szego, G., Aufgaben und lehrsatze der Analysis (1960), Springer: Springer Berlin-Gottingen, Heidelberg · JFM 51.0173.01
[9] Henrici, P., Elements of Numerical Analysis (1964), Wiley: Wiley New York · Zbl 0149.10901
[10] Cheney, E. W., Introduction to Approximation Theory (1966), McGraw-Hill: McGraw-Hill New York · Zbl 0161.25202
[11] Schmidt, E., Zur Kompaktheit bei Exponentialsummen, J. Approximation Theory, 3, 445-454 (1970) · Zbl 0212.09103
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