The error in discrete \(\Phi\)-approximation

DOI10.1016/S0895-7177(01)00076-0zbMath0995.41008OpenAlexW1989010421MaRDI QIDQ1600426

Fabián E. Levis

Publication date: 13 June 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(01)00076-0

zbMATH Keywords

approximationOrlicz spaces

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) Rate of convergence, degree of approximation (41A25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the characterization and computation of best monotone approximation in \(L_ p[0,1\) for \(1\leq p<\infty\)]
• Construction of the best monotone approximation on \(L_ p[0,1\)]
• Best monotone approximations in \(L_ 1[0,1\)]
• The natural best \(L^ 1\)-approximation by nondecreasing functions
• \(L_ \phi\)-approximation by nondecreasing functions on the interval
• Best approximants in L ? -spaces