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

• Datum: 1999
• Hauptverfasser: Pereverzeva, G. A., Переверзєва, Г. А.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1999
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4657
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...