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A relation between best approximations in the Chebyshev and the gauges senses

✍ Scribed by O Shisha

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
118 KB
Volume
47
Category
Article
ISSN
0021-9045

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✍ Song Li πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 223 KB

The best polynomial approximation is closely related to the Ditzian᎐Totik modulus of smoothness. In 1988, Z. Ditzian and V. Totik gave some equivalences between them and the class of Besov-type spaces B p with 1 F p F ϱ and ␣, s 1 F s F ϱ. We extend these equivalences to the similar Besov-type space