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Representation of functions of Besov class on manifolds by algebraic polynomials

✍ Scribed by S. M. Nikol'skii

Publisher: Akadmiai Kiad
Year: 1995
Tongue: English
Weight: 340 KB
Volume: 68
Category: Article
ISSN: 1588-2632
DOI: 10.1007/bf01874437

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## Abstract Estimates of Kolmogorov and linear __n__ ‐widths of Besov classes on compact globally symmetric spaces of rank 1 (i.e., on __S^d^__, __P^d^__ (ℝ), __P^d^__ (ℂ), __P^d^__ (ℍ), __P__^16^(Cay)) are established. It is shown that these estimates have sharp orders in different important cases