Quartic X-splines |
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Authors: | R. Smarzewski A. Bujalska-Horbowicz |
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Affiliation: | (1) Department of Numerical Methods, M. Curie-Skodowska University, Pl-20-031 Lublin, Poland |
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Abstract: | Summary The quartic periodic and nonperiodic X-spline are separated from the class of all piecewise-quartic interpolatory polynomials and their orders of convergence, smoothness and complexity of construction are examined. In particular, error estimates of interpolation of smooth functions at uniformly spaced knots by eight quartic X-splines of special interest are presented. The results are illustrated by a numerical example. |
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Keywords: | AMS(MOS): 41A15 41A25 65D05 65D07 |
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