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 α in Peak Norms and Best Peak Norms Approximation
✍ Scribed by Chengmin Yang
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 151 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0021-9045
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✦ Synopsis
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 :.
📜 SIMILAR VOLUMES
Norms referred to as generalized peak norms involve a parameter α 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.
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