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  • 1
    Electronic Resource
    Electronic Resource
    Prediction in Orlicz spaces (1981)
    Springer
    Manuscripta mathematica 35 (1981), S. 91-103 
    Details
    ISSN: 1432-1785
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we investigate the prediction (or best approximation) operator from a uniformly convex real Orlicz space to a subset of σ-lattice measurable functions. In particular, a counterexample to the monotoncity property, which holds in Lp spaces, is given. Also, a sufficient condition for monotonicity to hold is given. Finally, nested σ-lattices, as occur in isotonic regression, are considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01168450
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