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Analytic extended monosplines. (English) Zbl 0265.65012


MSC:

65D30 Numerical integration
41A15 Spline approximation
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References:

[1] Karlin, S.: On a class of nonlinear approximation problems. Bulletin Amer. Math. Soc.78, 43-48 (1972) · Zbl 0229.41009 · doi:10.1090/S0002-9904-1972-12842-8
[2] Richter-Dyn, N.: Properties of minimal integration rules. SIAM J. Numer. Anal.7, 61-79 (1970) · Zbl 0222.65023
[3] Richter-Dyn, N.: Properties of minimal integration rules II. SIAM J. Number. Anal.8, 497-508 (1971) · Zbl 0229.65017 · doi:10.1137/0708047
[4] Richter-Dyn, N.: Minimal interpolation and approximation in Hilbert spaces. SIAM J. Numer. Anal.8, 583-597 (1971) · Zbl 0229.65016 · doi:10.1137/0708056
[5] Karlin, S., Studden, W. S.: Tchebycheff systems: With applications in analysis and statistics. Pure and Appl. Math., Vol. 15. New York: Interscience 1966 · Zbl 0153.38902
[6] Barrar, R. B., Loeb, H. L.: On extended varisolvent families. Journal d’Analyse Math.26, 243-254 (1973) · Zbl 0272.41009 · doi:10.1007/BF02790432
[7] Barrar, R. B., Loeb, H. L.: On the continuity of the nonlinear Tchebyscheff operator. Pacific Journal of Math.32, 593-601 (1970) · Zbl 0192.42003
[8] Barrar, R. B., Loeb, H. L.: On the existence of closest points for non-linear approximating families. Abhandlungen Mathematisches Seminar Universität Hamburg36, 35-44 (1971) · Zbl 0224.41005
[9] Achieser, N. I.: Theory of approximation. New York: Ungar 1956 · Zbl 0072.28403
[10] Cheney, E. W.: Introduction to approximation theory. McGraw-Hill 1966 · Zbl 0161.25202
[11] Meinardus, G.: Approximation of functions: Theory and numerical methods. Berlin-Heidelberg-New York: Springer 1967 · Zbl 0152.15202
[12] Cheney, E. W., Goldstein, A. A.: Mean square approximation by rational functions. Math. Zeitschrift95, 232-241 (1967) · Zbl 0162.08501 · doi:10.1007/BF01111526
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