Semi-cardinal polyspline interpolation with Beppo Levi boundary conditions

Authors:
Aurelian Bejancu
Affiliations:
Department of Mathematics and Computer Science, Kuwait University, PO Box 5969, Safat 13060, Kuwait
Venue:
Journal of Approximation Theory
Year:
2008

Citing 2
Cited 0

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Semi-cardinal interpolation and difference equations: from cubic B-splines to a three-direction box-spline construction

Journal of Computational and Applied Mathematics

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Abstract

We consider the problem of interpolation to a sequence of n-variate periodic data functions prescribed on {j}xR^n, j@?Z"+, from a space of piecewise polyharmonic functions (polysplines) of n+1 variables. A unique solution is obtained subject to boundary conditions of the type employed in Duchon's theory of polyharmonic surface splines. The construction of the polyspline scheme is based on the extension of Schoenberg's semi-cardinal interpolation model to a class of univariate L-splines.