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A property of Ditzian–Totik second order moduli

✍ Scribed by Jorge Bustamante; José M. Quesada

Book ID
108052520
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
244 KB
Volume
23
Category
Article
ISSN
0893-9659

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📜 SIMILAR VOLUMES

On the Sharpness of a Jackson Estimate b
On the Sharpness of a Jackson Estimate by Ditzian–Totik
✍ L. Imhof 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 412 KB

Using ideas of Gru nwald, Marcinkiewicz, and Ve rtesi concerning the divergence of interpolation processes, a counterexample is constructed which establishes that a Jackson estimate for the best approximation by algebraic polynomials given by Ditzian and Totik is sharp in a pointwise sense everywher

The Equivalence Relations between the Di
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