Optimal error bounds for quadratic spline interpolation

Journal of Mathematical Analysis and Applications

Volumn 198, Issue 1, 1996, Pages 49-63

  Dubeau, François ^a   Savoie, Jean ^b  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

^b Saint Jeansur Richelieu   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030584307     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0067     Document Type: Article

References (10)

1. 1. G. Birkhoff and C. de Boor, Error bounds for spline interpolation, J. Math. Mech. 13 (1964), 827-835.
2. 2. S. Demko, Interpolation by quadratic splines, J. Approx. Theory 23 (1978), 392-400.
3. 3. F. Dubeau and J. Savoie, "A Note on Optimal Error Bounds for Periodic Cubic Spline Interpolation," Technical Report, C.M.R. St-Jean, Dec. 1992.
4. 4. C. Hall, On error bounds for cubic spline interpolation, J. Approx. Theory 1 (1968), 209-218.
5. 5. C. Hall and W. Meyer, Optimal error bounds for cubic spline interpolation, J. Approx. Theory 16 (1976), 105-122.
6. 6. W. J. Kammerer, G. W. Reddien, and R. S. Varga, Quadratic interpolatory splines, Numer. Math. 22 (1974), 241-259.
7. 7. M. J. Marsden, Quadratic spline interpolation, Bull. Amer. Math. Soc. 80 (1974), 903-906.
8. 8. V. L. Miroshnichenko, Exact error bounds for the periodic cubic and parabolic spline interpolation on the uniform mesh, Math. Balk., New Ser. 2 (1988), 210-221.
9. 9. L. L. Schumaker, "Spline Functions: Basic Theory," Wiley, New York, 1981.
10. 10. S. Xie, Quadratic spline interpolation, J. Approx. Theory 40 (1984), 66-90.