Convergence of Best Best L ∞ -Approximations

DOI10.2307/2044235zbMath0484.41032OpenAlexW4237844658MaRDI QIDQ3943393

Abdallah M. Al-Rashed, 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/10.2307/2044235

zbMATH Keywords

strict approximation

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Best approximation, Chebyshev systems (41A50)

Related Items (6)

Essential properties of \(L^\infty\)-functions ⋮ 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] ⋮ Regularity properties of optimal controls with application to discrete 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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