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On the Shape Fields Finiteness Principle
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Abstract
In this paper, we improve the finiteness constant for the finiteness principles for $C^m({\mathbb{R}}^n,{\mathbb{R}}^D)$ and $C^{m-1,1}({\mathbb{R}}^n,{\mathbb{R}}^D)$ selection proven in [ 19] and extend the more general shape fields finiteness principle to the vector-valued case.
Oxford University Press (OUP)
Title: On the Shape Fields Finiteness Principle
Description:
Abstract
In this paper, we improve the finiteness constant for the finiteness principles for $C^m({\mathbb{R}}^n,{\mathbb{R}}^D)$ and $C^{m-1,1}({\mathbb{R}}^n,{\mathbb{R}}^D)$ selection proven in [ 19] and extend the more general shape fields finiteness principle to the vector-valued case.
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