Generalized Convex Functions and Best L p Approximation

DOI10.2307/2159397zbMath0747.41024OpenAlexW4246371618MaRDI QIDQ3987612

Ronald M. Mathsen, Vasant A. Ubhaya

Publication date: 28 June 1992

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159397

zbMATH Keywords

generalized convex functionsbest \(L_ p\)-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) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Convexity of real functions in one variable, generalizations (26A51) Approximation by other special function classes (41A30)

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The Schur multiplicative and harmonic convexities of the complete symmetric function ⋮ Characterizing best isotone approximations in \(L_p\) spaces, \(1 \leq p < \infty\)

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