Inequalities for the extended best polynomial approximation operator in Orlicz spaces

DOI10.1007/s10114-018-6483-5zbMath1414.41003OpenAlexW2885417617WikidataQ129399360 ScholiaQ129399360MaRDI QIDQ1734916

Sergio Favier, Sonia Acinas, Felipe Zò

Publication date: 27 March 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-018-6483-5

zbMATH Keywords

Orlicz spacesweak and strong type inequalitiesextended best polynomial approximationOrlicz indicespointwise and norm convergence

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10)

Related Items (2)

A new concept of smoothness in Orlicz spaces ⋮ Taylor's inequalities in Orlicz–Sobolev type spaces

Cites Work

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• Inequalities in \(L^{p-1}\) for the extended \(L^p\) best approximation operator
• Extension of the operator of best polynomial approximation in \(L^p(\Omega )\)
• Isotonic approximation in \(L_ s\).
• Extension of the best approximation operator in Orlicz spaces and weak-type inequalities
• A Lebesgue type differentiation theorem for best approximations by constants in Orlicz spaces
• A generalized Radon-Nikodym derivative
• Extended Best Polynomial Approximation Operator in Orlicz Spaces
• Best approximants in L ? -spaces
• Interpolation of Orlicz spaces
• Maximal inequalities and Lebesgue's differentiation theorem for best approximant by constant over balls

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