The best quadrature based on given Hermite information for the Sobolev class KW r[a, b]

Author:

Wang Xinghua,Yang Shijun

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference10 articles.

1. Micchelli C A, Rivlin T J. A survey of optimal recovery. In: Micchelli C A, Rivlin T J, eds. Optimal Estimation in Approximation Theory. New York: Plenum, 1977. 1–54

2. Smolyak S A. On an optimal restoration of functions and functionals of them. Moscow State University: Candidate Dissertation, 1965

3. Kolmogorov A N. Zur Größenordnung des retgliedes Fouriersch Reihen. Annal Mat, 1935, 36: 521–526

4. Sard A. Best approximate integration formulas, best approximation formulas. Amer J Math, 1949, 71: 80–91

5. Nikolskii S M. To the question of estimations of approximation with quadrature formulae. UMN 2, 1950, 36: 165–177

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