On projections and monotony in \(L_p\)-spaces

DOI10.1007/BF01170260zbMath0393.46026OpenAlexW2078100197MaRDI QIDQ1252500

Lothar Rogge, Dieter Landers

Publication date: 1979

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154594

zbMATH Keywords

LatticeClosed Convex SubsetMonotony PropertiesProjection OperatorRange of Nearest Point Porjections

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) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (7)

Simultaneous monotone approximation in low-order mean ⋮ Best \(L_ 1\)-approximation of bounded, approximately continuous functions on [0,1 by nondecreasing functions] ⋮ The Polya algorithm for convex approximation ⋮ Prediction in Orlicz spaces ⋮ The Polya algorithm in \(L_ \infty\) approximation ⋮ Best monotone approximation in \(L_{\infty}[0,1\)] ⋮ \(L_ p\)-linear regression, consistency and significative regression in median

Cites Work

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