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.
Journal of Complexity
Digital Object Identifier (DOI)
Babenko, Vladyslav; Babenko, Yuliya; Parfinovych, Nataliya; and Skorokhodov, Dmytro, "Optimal Recovery of Integral Operators and its Applications" (2016). Faculty Publications. 4026.