Continuity of Best Approximants

DOI10.2307/2044234zbMath0484.41031OpenAlexW4242210133MaRDI QIDQ3943392

Lothar Rogge, Dieter Landers

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2044234

zbMATH Keywords

characterizationlimit theoremconditional expectationscontinuity theoremssigma-lattices

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (4)

Characterizing best isotone approximations in \(L_p\) spaces, \(1 \leq p < \infty\) ⋮ Best monotone approximation using a peak norm ⋮ The natural best \(L^ 1\)-approximation by nondecreasing functions ⋮ Isotonic approximation in \(L_{1}\)

Cites Work

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• Uniform inequalities for conditional \(p\)-means given \(\sigma\)-lattices
• Best approximants in L ? -spaces
• Best approximants in L 1 space
• Almost everywhere convergence of prediction sequence in L p (1 < p < ?)

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