Projection methods for the solution of Fredholm integral equations of the first kind with $(ϕ, β)$-differentiable kernels and random errors

We estimate errors of projection methods for the solution of the Fredholm equaitons of the first kindAx=y+ζ with random perturbation ζ under the assumption that the integral operatorA has a (ϕ, β)-differentiable kernel and the mathematical expectation of ∥ξ∥2 does not exceed σ2. Under these assumpti...

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Bibliographic Details
Date:1999
Main Authors: Pereverzeva, G. A., Переверзєва, Г. А.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1999
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4657
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal