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Best polynomial approximation in Besov spaces

✍ Scribed by Francisco Pérez Acosta

Book ID
104338490
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
439 KB
Volume
85
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper we study the problem of best polynomial approximation in the Besov spaces B,3",. The density of the polynomials and a Walsh-type theorem is proved. A generalization of strong uniqueness is given, the so-called a-strong uniqueness (CI > 1). This property of best polynomial approximations is proved in BYyq with CL = 2t-'jq. In the case q = 1, the classical strong uniqueness is obtained.

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