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Optimal recovery of integral operators and its applications |
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| Institution: | 1. Department of Mathematics and Mechanics, Dnepropetrovsk National University, Gagarina pr., 72, Dnepropetrovsk, 49010, Ukraine;2. Department of Mathematics, Kennesaw State University, 1100 South Marietta Pkwy, MD # 9085, Marietta, GA, 30060, USA |
| Abstract: | In this paper we present the solution to a problem of recovering a rather arbitrary integral operator based on incomplete information with error. We apply the main result to obtain optimal methods of recovery and compute the optimal error for the solutions to certain integral equations as well as boundary and initial value problems for various PDE’s. |
| Keywords: | Optimal recovery Information with error Integral operators Integral equations Initial and boundary value problems |
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