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Best approximation and moduli of smoothness: Computation and equivalence theorems

✍ Scribed by Sergey Tikhonov

Book ID
108159039
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
258 KB
Volume
153
Category
Article
ISSN
0021-9045

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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