Extension of the best approximation operator in Orlicz spaces

DOI10.1155/2008/374742zbMath1160.41308OpenAlexW2041161139WikidataQ58644329 ScholiaQ58644329MaRDI QIDQ938365

Ivana Carrizo, Sergio Favier, Felipe Zò

Publication date: 19 August 2008

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55324

zbMATH Keywords

Orlicz spacebest approximation operator

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) Linear operators on function spaces (general) (47B38) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (2)

Extension of the operator of best polynomial approximation in \(L^p(\Omega )\) ⋮ Inequalities in \(L^{p-1}\) for the extended \(L^p\) best approximation operator

Cites Work

• Unnamed Item
• Isotonic approximation in \(L_ s\).
• Extension of the best approximation operator in Orlicz spaces and weak-type inequalities
• A characterization of best \(\varphi\)-approximants with applications to multidimensional isotonic approximation
• A Lebesgue type differentiation theorem for best approximations by constants in Orlicz spaces
• Isotonic approximation in \(L_{1}\)
• A generalized Radon-Nikodym derivative
• Best approximants in L ? -spaces
• Maximal Inequalities for the Best Approximation Operator and Simonenko Indices
• Maximal inequalities and Lebesgue's differentiation theorem for best approximant by constant over balls

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