Abstract
An approach to the problem of optimal recovery of functionals and operators on classes of functions under the conditions of infinite knowledge of functions themselves is discussed. The capabilities of this approach are demonstrated in a number of examples. In the end of the paper, a general result about optimal recovery of linear functionals is given.
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Magaril-Il'yaev, G.G., Osipenko, K.Y. & Tikhomirov, V.M. Indefinite Knowledge about an Object and Accuracy of Its Recovery Methods. Problems of Information Transmission 39, 104–118 (2003). https://doi.org/10.1023/A:1023686600253
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DOI: https://doi.org/10.1023/A:1023686600253