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On discretization errors in nonlinear approximation problems

✍ Scribed by Rembert Reemtsen

Book ID: 107776969
Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 805 KB
Volume: 49
Category: Article
ISSN: 0021-9045
DOI: 10.1016/0021-9045(87)90103-1

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Let q3 : [0, 00) + [O,oo) be a convex function 4(z) > 0, if I > 0, 4(O) = 0 and let (n,A, p) be a measure space, where fl = N or a finite subset of N, A = 2", and ~1 is any finite measure. We consider the set k&w(f) of best monotone &approximates of the function f in the Orlicz space L+ = Ld(R, A,p)