Convergence of function averages in orlicz spaces

DOI10.1080/01630569408816565zbMath0823.46028OpenAlexW2028249351MaRDI QIDQ4296722

Sergio Favier

Publication date: 5 November 1995

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

Full work available at URL: https://doi.org/10.1080/01630569408816565

zbMATH Keywords

Orlicz spaceconvergence of the averagesbest local approximants by polynomialsLuxemburg and Orlicz norms

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) Best approximation, Chebyshev systems (41A50)

Related Items (5)

RATIONAL APPROXIMATION INL_φSPACES ON A FINITE UNION OF DISJOINT INTERVALS ⋮ A New Approach to Derivatives in L²-spaces ⋮ On convergence of subspaces generated by dilations of polynomials. An application to best local approximation ⋮ Weighted best local approximation in Orlicz space ⋮ Best local weighted approximation. An approach with abstract seminorms

Cites Work

• Best approximation with respect to nearby norms
• Unnamed Item

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