Optimal Recovery and n-Widths for Convex Classes of Functions
β Scribed by E. Novak
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 656 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0021-9045
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π SIMILAR VOLUMES
In this paper we find some exact values of \(n\)-widths in the integral metric with the Chebyshev weight function for the classes of functions that are bounded and analytic or harmonic in the interior of the ellipse with foci \(\pm 1\) and sum of semiaxes \(c\). We also construct optimal quadrature
Let z be an analytic function with positive real part on β¬ s z; z -1 with Ε½ . Ε½ . 0 s 1, Π 0 ) 0 which maps the unit disk β¬ onto a region starlike with respect Ε½ . to 1 and symmetric with respect to the real axis. Let ST denote the class of Ε½ . Ε½ . Ε½ . Ε½ . Ε½ . Ε½ . analytic functions f z with f 0 s