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Interpolatory properties of best L2-approximants

โœ Scribed by E.B. Saff; B. Shekhtman


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
569 KB
Volume
1
Category
Article
ISSN
0019-3577

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๐Ÿ“œ SIMILAR VOLUMES


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For \(f \in C[-1,1]\) denote by \(B\_{n, p}(f)\) its best \(L\_{n}\)-approximant by polynomials of degree at most \(n(1 \leqslant p \leqslant \infty)\). The following statement is the main result of the paper: Let \(1 1\). 1993 Academic Press, Inc.

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Let D R 2 be the open unit disk. We consider best harmonic approximation to functions continuous on D . In a basic paper, Hayman et al. characterized best harmonic approximants which are themselves continuous on D . In this paper we give sufficient conditions and many simple examples of functions co