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Exact Values of N-Widths and Optimal Quadratures on Classes of Bounded Analytic and Harmonic Functions

✍ Scribed by K.Y. Osipenko


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
419 KB
Volume
82
Category
Article
ISSN
0021-9045

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✦ Synopsis


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 formulas for these classes.

(c) 1995 Academic Press, Inc.