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Moduli of smoothness and best approximation in the spacesLp, 0

✍ Scribed by Э. А. СтороЖенко; П. ОсвалЬд

Book ID
112650839
Publisher
Springer
Year
1977
Tongue
English
Weight
353 KB
Volume
3
Category
Article
ISSN
0133-3852

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📜 SIMILAR VOLUMES

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Moduli of smoothness and best approximation of functions with singularities
✍ M. Ganzburg 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 621 KB

Error estimates for approximation of functions ~ox,a,0 (x) = ~x,~,l (x) + i~ox,a,2 (X) = [x[)~exp (iA[x[-°'), A > 0, a :> 0, A e R are given. Let E(f,B, Lp(f~)) denote the error of approximation of f by elements from B in the Lp-metric. Then, it is shown that for polynomial approximation E(~,a,l,Pr,

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✍ 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