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Optimization Characteristics of the Operator with Delta-Like Kernel for Quasi-Smooth Functions
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Journal Article
Optimization Characteristics of the Operator with Delta-Like Kernel for Quasi-Smooth Functions
2024
Overview
The authors present the results of the research combining the methods of approximation theory and optimal decision theory. Namely, a solution to the optimization problem for the biharmonic Poisson integral in the upper half-plane is considered one of the most optimal solutions to the biharmonic equation in Cartesian coordinates. The approximate properties of the biharmonic Poisson operator in the upper half-plane on the classes of quasi-smooth functions are obtained in the form of an exact equality for the deviation of quasi-smooth functions from the positive operator under consideration.
Publisher
Springer US,Springer,Springer Nature B.V
