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Variation of the norms in the problem of best approximation

โœ Scribed by V. I. Berdyshev


Publisher
SP MAIK Nauka/Interperiodica
Year
1981
Tongue
English
Weight
563 KB
Volume
29
Category
Article
ISSN
0001-4346

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๐Ÿ“œ SIMILAR VOLUMES


Dependence of ฮฑ in Peak Norms and Best P
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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.