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 1Â.(x). The direct and converse results are obtained for a class of step-weight functions, contai
Best Approximation and Moduli of Smoothness for Doubling Weights
✍ Scribed by Giuseppe Mastroianni; Vilmos Totik
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 157 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
## Abstract To decrease the calculation time of iterative tomographic reconstruction, this study proposes and investigates the uses of the “dot‐projection” algorithm, which uses smooth basis functions for data representation. Basis functions give an approximation to the basis functions of blobs, wh
## Abstract Some formulae and an error estimate for post‐processing approximations to solutions of hyperbolic partial differential equations are derived. The post‐processing is applied to a fully discrete approximation of the discontinuous solution of an initial boundary‐value problem for the wave