Optimal recovery of derivatives of bounded analytic and harmonic functions from inaccurate data
โ Scribed by K. Yu. Osipenko; M. I. Stesin
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1993
- Tongue
- English
- Weight
- 389 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ 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 S ; :=[z # C: |Im z|<;]. For 2?-periodic functions which are analytic in S ; with p-integrable boundary values, we construct an optimal method of recovery of f $(!), ! # S ; , using information about the values f (x 1 ), ..., f (x n ), x j # [0, 2?).