Modeling of Problem Reconstruction Function by its Integral Data on a Family of Circles
Niyetbay UteulievNukus branch of Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Nukus, UzbekistanGafur DjaykovNukus branch of Tashkent University of Information technologies named after Muhammad al-Khwarizmi, Nukus, UzbekistanSh.A. YadgarovNukus branch of Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Nukus, Uzbekistan
2021 International Conference on Information Science and Communications Technologies (ICISCT)conference2021en
ABI
Аннотация
We consider the problem of reconstruction a function if its integrals over families of circles are known. An analytical representation is obtained for the Fourier image in the first variable of the desired function. This implies a statement about the strong incorrectness of the solution to the problem. Based on the idea of A.N. Tikhonov on the regularization of ill-posed problems, a sequence of approximate solutions to the exact solution of the problem is constructed.
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