Best error bounds for odd and even degree deficient splines

SIAM Journal on Numerical Analysis

Volumn 34, Issue 3, 1997, Pages 1167-1184

  Dubeau, François ^a   Savoie, Jean ^b  

^a UNIVERSITÉ DE SHERBROOKE   (Canada)

^b Ctr de Rech Pour la Défense   (Canada)

Author keywords

Deficient interpolatory spline; Odd and even degree spline; Optimal error bounds

Indexed keywords

EID: 0347169701     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142993259287     Document Type: Article

References (6)

1. M. CROUZEIX AND A. L. MIGNOT, Analyse numérique des équations différentielles, Masson, Paris, 1984.
2. F. DUBEAU AND J. SAVOIE, A Note on Optimal Error Bounds for Periodic Cubic Spline Interpolation, Tech. report, Collége militaire royal de St-Jean, December 1992.
3. F. DUBEAU AND J. SAVOIE, Optimal error bounds for quadratic spline interpolation, J. Math. Anal. Appl., 198 (1996), pp. 49-63.
4. C. A. HALL AND W. W. MEYER, Optimal error bounds for cubic spline interpolation, J. Approx. Theory, 16 (1976), pp. 105-122.
5. G. HOWELL AND A. K. VARMA, Best error bounds for quartic spline interpolation, J. Approx. Theory, 58 (1989), pp. 58-67.
6. L. L. SCHUMAKER, Spline Functions: Basic Theory, John Wiley, New York, 1981.