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- W2057836031 abstract "The paper deals with L ∞ -approximations in a probability space ( Ω, σ, P ) by means of α-measurable random variables for α ⊂ σ, a σ-lattice. Attention is paid to the characterization of the set of all best L ∞ -approximations in terms of the notion of “conditional bounds,” developed in the paper. On the other hand we study in the framework above the Pólya algorithm, showing that, if ƒ r denotes a best L r -approximation and r ( n ) → ∞, then lim inf ƒ r(n) and lim sup ƒ r(n) are best L ∞ -approximations. We also point out an error in an article on this subject by Darst and discuss the validity of subsequent articles by Darst, Al-Rashed, and others." @default.
- W2057836031 created "2016-06-24" @default.
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- W2057836031 date "1989-01-01" @default.
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- W2057836031 title "Conditional bounds and best L∞-approximations in probability spaces" @default.
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- W2057836031 doi "https://doi.org/10.1016/0021-9045(89)90128-7" @default.
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