Optimal Recovery of a Family of Operators from Inaccurate Measurements on a Compact Set

Author:

Sivkova E. O.

Publisher

Pleiades Publishing Ltd

Reference12 articles.

1. Magaril-Ilyaev G.G. and Tikhomirov V.M., Convex Analysis: Theory and Applications, Amer. Math. Soc., Providence (2003).

2. Stein E. and Weiss G., Introduction to Harmonic Analysis on Euclidean Spaces, Princeton University, Princeton (1970) (Princeton Mathematical Series; vol. 1).

3. Smolyak S.A., On Optimal Recovery of Functions and Functionals over Them. Extended Abstract of Cand. Sci. Dissertation, Moscow University, Moscow (1965) [Russian].

4. Micchelli C.A. and Rivlin T.J., “A survey of optimal recovery,” in: Optimal Estimation in Approximation Theory, Plenum, New York (1977), 1–54.

5. Melkman A.A. and Micchelli C.A., “Optimal estimation of linear operators in Hilbert spaces from inaccurate data,” SIAM J. Numer. Anal., vol. 16, no. 1, 87–105 (1979).

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