Best approximation by linear combinations of characteristic functions of half-spaces
نویسندگان
چکیده
منابع مشابه
Best approximation by linear combinations of characteristic functions of half-spaces
It is shown that for any positive integer n and any function in Lp([0, 1]) with p ∈ [1,∞) there exists a best approximation by linear combinations of n characteristic functions of half-spaces. Further, sequences of such linear combinations converging in distance to the best approximation distance have subsequences converging to the best approximation, i.e., these linear combinations are an appr...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2003
ISSN: 0021-9045
DOI: 10.1016/s0021-9045(03)00072-8