Electronic Resource
Springer
Constructive approximation
2 (1986), S. 79-99
ISSN:
1432-0940
Keywords:
41A15
;
41A52
;
41A55
;
Monosplines
;
Perfect splines
;
L p-Approximation
;
Uniqueness of best approximation
;
Degree theory
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01893418
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