Relations between periodic and nonperiodic moduli of smoothness
β Scribed by K. V. Runovskii
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1992
- Tongue
- English
- Weight
- 80 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
The best polynomial approximation is closely related to the DitzianαTotik 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 Ο± and β£, s 1 F s F Ο±. We extend these equivalences to the similar Besov-type space
In this paper we study relations between moduli of smoothness with the step-weight function . and the best approximation by splines with knots uniformly distributed according to the measure with density 1Γ.(x). The direct and converse results are obtained for a class of step-weight functions, contai