On the uniqueness of generalized monosplines of least Lp-norm |
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| Authors: | D Braess N Dyn |
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| Institution: | 1. Institut für Mathematik, Ruhr-Universit?t Bochum, D 4630, Bochum 1, West Germany
2. School of Mathematical Sciences, Tel Aviv University, 69978, Tel Aviv, Israel
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| Abstract: | The uniqueness of monosplines and perfect splines of leastL p-norm is treated in the framework of generalized monosplines and total positivity. The analysis is based on the invariance properties of the degree of a certain mapping and on a new composition result for totally positive kernels. For theL p-case 1<p<∞, uniqueness is shown under the same extra conditions as were previously shown to be needed in theL p-case. The uniqueness in theL ∞-case is obtained without any restrictions. |
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