Convergence of L p Approximations as p →∞

DOI10.2307/2043481zbMath0461.41023OpenAlexW2020048447MaRDI QIDQ3910898

Richard B. Darst

Publication date: 1981

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2043481

zbMATH Keywords

probability spacebest Lp approximationsubsigma-algebra

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Axioms; other general questions in probability (60A05)

Related Items (6)

Conditional bounds and best \(L_{\infty}\)-approximations in probability spaces ⋮ Best \(L_ 1\)-approximation of bounded, approximately continuous functions on [0,1 by nondecreasing functions] ⋮ L//infinity-approximation in probability spaces ⋮ The Polya algorithm in \(L_ \infty\) approximation ⋮ Best \(L_ 1\)-approximation of quasi continuous functions on [0,1 by nondecreasing functions] ⋮ Best L_∞-approximation of measurable, vector-valued functions

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