Best Monotone Approximation Using a Peak Norm
نویسندگان
چکیده
منابع مشابه
The Limit of Best Generalized Peak Norm Approximations
Let X μ be a finite measure space without atoms and having measure μ X = 1, and let E be a normed linear space whose elements are μ-measureable functions defined on X. Let χA denote the Haar function (or characteristic function) of A which takes value 1 on A ∈ and zero everywhere else on . A fundamental assumption in what follows is that if f ∈ E and A ∈ , then fχA ∈ E. For any α 0 < α ≤ 1, a g...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1997
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.5195