Approximation theorems for operator exponential and cosine functions |
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| Authors: | N. V. Maiko V. L. Ryabichev |
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| Affiliation: | 1.Taras Shevchenko National University of Kyiv,Kyiv,Ukraine |
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| Abstract: | An integral approximation error is estimated for an operator exponential function, and the unimprovability of the estimate with respect to order is investigated. The smoothness of the initial vector in terms of the order of accuracy of the Cayley transform method is substantiated for approximations of operator exponential and cosine functions. |
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