Approximation of smooth functions by polyharmonic cardinal splines in \(L_p(\mathbb{R}^n)\) space
\textit{W. R. Madych} and \textit{S. A. Nelson} [J. Approximation Theory 60, 141-156 (1990; Zbl 0702.41020)] generalised a cardinal spline interpolation problem to multivariate splines. The author studies here the remainders and the convergence of cardinal polyharmonic spline interpolation [cf. \textit{C. A. Micchelli} in `Studies in spline function and approximation theory, Academic Press, New York (1976; Zbl 0323.00007)].
scientific article; zbMATH DE number 1328394