Best approximation with wavelets in weighted Orlicz spaces
β Scribed by Maria De Natividade
- Publisher
- Springer Vienna
- Year
- 2010
- Tongue
- English
- Weight
- 349 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0026-9255
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π SIMILAR VOLUMES
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
Some criteria for approximative compactness of Orlicz function and sequence spaces for both (the Luxemburg and the Orlicz) norms are presented.
Criteria for strict monotonicity, lower local uniform monotonicity, upper local uniform monotonicity and uniform monotonicity of a Musielak Orlicz space endowed with the Amemiya norm and its subspace of order continuous elements are given in the cases of nonatomic and the counting measure space. To