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Some characterizations of best mixed-norm approximations

โœ Scribed by G.A Watson


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
446 KB
Volume
36
Category
Article
ISSN
0021-9045

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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.

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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 :.