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On the connection between the best approximation by algebraic polynomials and the modulus of smoothness of orderr

✍ Scribed by M. K. Potapov; F. M. Berisha


Book ID
106435281
Publisher
Springer US
Year
2008
Tongue
English
Weight
235 KB
Volume
155
Category
Article
ISSN
1573-8795

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The Equivalence Relations between the Di
✍ 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