Extended Best Polynomial Approximation Operator in Orlicz Spaces

DOI10.1080/01630563.2015.1040161zbMath1327.41002OpenAlexW2054206122MaRDI QIDQ3453777

Sergio Favier, Sonia Acinas, Felipe Zò

Publication date: 30 November 2015

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2015.1040161

zbMATH Keywords

Orlicz spacesbest polynomial \(\Phi\)-approximation operatorsextended best polynomial approximation from \(L^\Phi\) to \(L^\varphi\)

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Approximation by arbitrary linear expressions (41A45)

Related Items (6)

A new concept of smoothness in Orlicz spaces ⋮ Taylor's inequalities in Orlicz–Sobolev type spaces ⋮ On a generalization of the extended best polynomial approximation operator in Orlicz–Lorentz spaces ⋮ Extended best polynomial approximation operator in Orlicz–Lorentz spaces ⋮ Multivalued Extended BestΦ-Polynomial Approximation Operator ⋮ Inequalities for the extended best polynomial approximation operator in Orlicz 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 generalized Radon-Nikodym derivative
• Best approximants in L ? -spaces
• Maximal inequalities and Lebesgue's differentiation theorem for best approximant by constant over balls

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