ON COMPLEX QUARTIC INTERPOLATING SPLINES WITH HIGHER DEFICIENCY
Citation:
Lu Jianke.ON COMPLEX QUARTIC INTERPOLATING SPLINES WITH HIGHER DEFICIENCY[J].Chinese Annals of Mathematics B,1984,5(3):333~338
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Authors:
Lu Jianke;
Abstract:
In this paper, the error analysis between the complex quartic interpolating splines of deficiency $\[ \ge 2\]$ and the interpolated functions on complex plane as well as their derivatives is studied. When the kernal density of a Cauchy principal integral is approximated by such splines, the order of the error preduced between the integals themselves is also estimated. The curve on consideration may be open or closed.