- Conference date: 7–12 June 2009
- Location: Sozopol (Bulgaria)
In this communication we study in detail the relations between the smoothness of f and in the case when the smoothness of the univariate non‐negative functions f is measured via Besov and Triebel‐Lizorkin space scales. The results obtained can be considered also as embedding theorems for usual Besov and Triebel‐Lizorkin spaces and their analogues in Hellinger metric. These results can be used in constrained approximation using wavelets, with applications to probability density estimation in speech recognition, non‐negative non‐parametric regression‐function estimation in positron‐emission tomography (PET) imaging, shape/order‐preserving and/or one‐sided approximation and many others.
- Positron emission tomography
- Information and communication theory
- Probability theory
- Speech recognition
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