Monotone approximation relative to peak norms is studied both on an interval and in the discrete case. Existence and some structure results are obtained which demonstrate that peak norm approximation has similar properties to L approxi-1 mation. In particular, sup's and inf's of best approximants ar
On Approximation Using a Peak Norm
β Scribed by C. Li; G.A. Watson
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 264 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0021-9045
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π SIMILAR VOLUMES
where + denotes the Lebesgue measure. We say p # U is a best as functions of : for fixed f. We shall show their continuous dependence on : and differentiability with respect to :.
Norms referred to as generalized peak norms involve a parameter Ξ± which lies between 0 and 1. We consider relationships between the limits of solutions to approximation problems involving these norms and solutions of problems using the norms associated with the limiting values.
The nearest neighbor search (NNS) problem is the following: Given a set of n points P={p 1 , ..., p n } in some metric space X, preprocess P so as to efficiently answer queries which require finding a point in P closest to a query point q Β₯ X. The approximate nearest neighbor search (c-NNS) is a rel
In this paper we present two approximation theorems on the strong de la Vallke Poussin These theorems are analogues of the LEINDLER and the PRESTIN-PROSSDORF results given in [I] and means of Fourier series of 2n-periodic functions belonging to generalized Holder spaces. [4] for the de la Vallee Po