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On best p-approximation from affine subspaces: asymptotic expansion

✍ Scribed by José Marı́a Quesada; Juan Martínez-Moreno; Juan Navas

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 78 KB
Volume: 334
Category: Article
ISSN: 1631-073X
DOI: 10.1016/s1631-073x(02)02403-2

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✦ Synopsis

In this paper we consider the problem of best approximation in p

where h * ∞ is a best uniform approximation of h from K, the so-called strict uniform approximation. Our aim is to prove that for all r ∈ N there are α j ∈ R n , 1 j r, such that

📜 SIMILAR VOLUMES

Asymptotic Behaviour of Best lp-Approxim

Asymptotic Behaviour of Best lp-Approximations from Affi ne Subspaces

✍ J.M. Quesada; J. Martinez-Moreno; J. Navas 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 158 KB

In this paper we consider the problem of best approximation in ' n p ; 15p41: If h p ; 15p51; denotes the best ' p -approximation of the element h 2 R n from a proper affine subspace where h n 1 is a best uniform approximation of h from K; the so-called strict uniform approximation. Our aim is to p