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arXiv · 1509.04381

Optimal recovery of integral operators and its applications

Vladyslav Babenko·Yuliya Babenko·Nataliia Parfinovych·Dmytro Skorokhodov
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Abstract

In this paper we present the solution to the problem of recovering 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.

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Vladyslav Babenko, Yuliya Babenko, Nataliia Parfinovych, Dmytro Skorokhodov. 2015-09-15. Optimal recovery of integral operators and its applications. https://arxiv.org/abs/1509.04381

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