A new method of interpolation and numerical integration
β Scribed by N. Catsaros; P. Ribon
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 560 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0010-4655
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## Communicated by A. Kunoth Quasi-interpolation is very important in the study of the approximation theory and applications. In this paper, a multilevel univariate quasi-interpolation scheme with better smoothness using cubic spline basis on uniform partition of bounded interval is proposed. More
## Abstract The paper deals with two closely related topics: (i) Numerical integration of functions belonging to SobolevβBesov spaces with dominating mixed smoothness in cubes. (ii) Discrepancy measured in terms of Lebesgue and SobolevβBesov spaces (Β© 2010 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim