| [1] |
M. Abramowitz and I. A. Stegun,Handbook of Mathematical Functions, Dover Publications, Inc., New York, 1965. · Zbl 0171.38503 |
| [2] |
J. H. Ahlberg, E. N. Nilson and J. L. Walsh,The Theory of Splines and Their Applications, Academic Press, New York, 1967. · Zbl 0158.15901 |
| [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 |
| [4] |
C. deBoor,On calculating with B-splines, J. Approx. Theory 6 (1973), 50–62. · Zbl 0239.41006 · doi:10.1016/0021-9045(72)90080-9 |
| [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 · doi:10.1093/imamat/7.3.398 |
| [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 · doi:10.1137/0704038 |
| [7] |
D. S. Meek,On the Numerical Construction and Approximation of Some Piecewise Polynomial Functions, Ph. D. Thesis, University of Manitoba (1973). |
| [8] |
I. J. Schoenberg,Contributions to the problem of approximation of equidistant data by analytic functions, Part A, Quart. Appl. Math. 4 (1946), 45–99. · doi:10.1090/qam/15914 |
| [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 · doi:10.1090/S0002-9904-1968-12052-X |
