𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Approximation Using a Peak Norm

✍ Scribed by C. Li; G.A. Watson


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
264 KB
Volume
77
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Best Monotone Approximation Using a Peak
✍ D.A. Legg; D.W. Townsend πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 129 KB

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

Dependence of Ξ± in Peak Norms and Best P
✍ Chengmin Yang πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 151 KB

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 :.

The Limit of Best Generalized Peak Norm
✍ Chong Li; G.A. Watson πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 94 KB

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.

On Approximate Nearest Neighbors under l
✍ Piotr Indyk πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 140 KB

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

On Strong Approximation in HΓΆlder Norms
✍ M. GΓ³rzeΕ„ska; M. LeΕ›niewicz; L. Rempulska πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 212 KB

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