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Best approximation using a peak norm

โœ Scribed by Eitan Lapidot; James T Lewis


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
625 KB
Volume
67
Category
Article
ISSN
0021-9045

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๐Ÿ“œ SIMILAR VOLUMES


Best Monotone Approximation Using a Peak
โœ D.A. Legg; D.W. Townsend ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

On Approximation Using a Peak Norm
โœ C. Li; G.A. Watson ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 264 KB
Dependence of ฮฑ in Peak Norms and Best P
โœ Chengmin Yang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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
โœ Chong Li; G.A. Watson ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 94 KB

Norms referred to as generalized peak norms involve a parameter ฮฑ 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.