Abstract
This paper discusses some problems on the cardinal spline interpolation corresponding to infinite order differential operators. The remainder formulas and a dual theorem are established for some convolution classes, where the kernels arePF densities. Moreover, the exact error of approximation of a convolution class with interpolation cardinal splines is determined. The exact values of averagen-Kolmogorov widths are obtained for the convolution class.
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Dirong, C. On the cardinal spline interpolation corresponding to infinite order differential operators. Acta Mathematica Sinica 10, 315–324 (1994). https://doi.org/10.1007/BF02560722
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DOI: https://doi.org/10.1007/BF02560722