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The natural best approximant in Orlicz spaces of Young measures

✍ Scribed by Cristian Constantin Popa

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
242 KB
Volume
57
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper is dealing with the problem of existence and uniqueness of the natural minimizer of a convex set in a Orlicz class of Young measures, say Y 0 . When the function 0 is approached in a given way by a family of functions we prove that a sequence of minimizers of the -norm will converge, as β†’ 0, to a speciΓΏc minimizer of 0-norm, which can also be found solving a minimizing problem in another Orlicz class of Young measure. The present paper extends the similar results existing in the literature, on natural best approximation in Orlicz classes of functions, and in integrable families of Young measures.

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