Taylor's inequalities in Orlicz–Sobolev type spaces

DOI10.1002/mana.202100135OpenAlexW4313547106MaRDI QIDQ6047394

Fabián E. Levis, Unnamed Author

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.202100135

zbMATH Keywords

inequalitiesconvergenceOrlicz-Sobolev spacesOrlicz spacesbest polynomial approximation

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Best approximation, Chebyshev systems (41A50) Approximation by polynomials (41A10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

On a generalization of the extended best polynomial approximation operator in Orlicz–Lorentz spaces

Cites Work

• Inequalities in \(L^{p-1}\) for the extended \(L^p\) best approximation operator
• Extension of the operator of best polynomial approximation in \(L^p(\Omega )\)
• Differentiability properties of functions from higher-order Orlicz-Sobolev spaces
• Best local approximation in several variables
• Best \(L_2\) local approximation
• Inequalities for the extended best polynomial approximation operator in Orlicz spaces
• Extended Best Polynomial Approximation Operator in Orlicz Spaces
• Weakly Differentiable Functions
• Pointwise Differentiability and Absolute Continuity
• A First Course in Sobolev Spaces
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