A Characterization of Best Φ-Approximants
Copyright policy )A Characterization of Best Φ-Approximants
Let T T be an operator from an Orlicz space L Φ {L_\Phi } into itself. It is shown in this paper that four algebraic conditions and one integration condition assure that T T is the best Φ \Phi -approximator, given a suitable σ \sigma -lattice.
Best approximation, Chebyshev systems, L-phi-space, best approximants, sigma-lattices, Prediction theory (aspects of stochastic processes), Orlicz space, conditional expectations, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Inference from stochastic processes and prediction
Best approximation, Chebyshev systems, L-phi-space, best approximants, sigma-lattices, Prediction theory (aspects of stochastic processes), Orlicz space, conditional expectations, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Inference from stochastic processes and prediction
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