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Linear dependence relations for polynomial splines at midknots. (English) Zbl 0311.65002


MSC:

65D05 Numerical interpolation
41A15 Spline approximation
65D10 Numerical smoothing, curve fitting
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References:

[1] M. Abramowitz and I. A. Stegun,Handbook of Mathematical Functions, Dover Publications, Inc., New York, 1965. · Zbl 0171.38503
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[3] E. L. Albasiny and W. D. Hoskins,Explicit error bounds for periodic splines of odd order on a uniform mesh, To appear in J. Inst. Math. Applics. · Zbl 0294.65004
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[5] D. J. Fyfe,Linear dependence relations connecting equal interval N-th degree splines and their derivatives, J. Inst. Math. Applics. 7 (1971), 398–406. · Zbl 0219.65010
[6] F. R. Loscalzo and T. D. Talbot,Spline function approximation for solutions of ordinary differential equations, SIAM J. Num. Anal. 4 (1967), 433–445. · Zbl 0171.36301
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[9] I. J. Schoenberg,Cardinal Interpolation and Spline Functions IV. The Exponential Euler Splines. University of Wisconsin, MRC Report No. 1153 (1971). · Zbl 0269.41002
[10] Y. N. Subbotin,Piecewise polynomial (spline) interpolation, Mat. Zametki 1 (1967), 63–70 = Math. Notes 1 (1967), 41–45.
[11] B. Swartz,O(h 2n+2-l ) bounds on some spline interpolation errors, Bull. Amer. Math. Soc. 74 (1968), 1072–1078. · Zbl 0181.34001
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