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The equivalence of the moduli of continuity of the best approximation operator and of strong unicity in L1

✍ Scribed by James R Angelos; András Kroó

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
388 KB
Volume
46
Category
Article
ISSN
0021-9045

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The Equivalence Relations between the Ditzian–Totik Moduli of Smoothness and Best Polynomial Approximation in the Besov Spaces
✍ Song Li 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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