Scientific Journal of Samarkand University
Abstract
In this work we consider the problem of reconstructing a function from a family of parabolas in the upper half-plane with a weight function having a singularity. The uniqueness of theorem for the solution of equation is proved and the inversion formula is derived. It is shown that the solution of the problem posed is weakly ill-posed, that is, stability estimates are obtained in spaces of finite smoothness.
First Page
11
Last Page
16
References
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Recommended Citation
Begmatov, A. X. and Ismoilov, A. S.
(2020)
"The problem of integral geometry in a strip with weight function,"
Scientific Journal of Samarkand University: Vol. 2020
, Article 42.
Available at:
https://uzjournals.edu.uz/samdu/vol2020/iss1/42