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

  • G. A. Pereverzeva

Abstract

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 assumptions, we obtain an estimate that is a complete analog of the well-known result by Vainikko and Plato for the deterministic case where ∥ξ∥≤σ.
Published
25.05.1999
How to Cite
PereverzevaG. A. “Projection Methods for the Solution of Fredholm Integral Equations of the First Kind With $(ϕ, β)$-Differentiable Kernels and Random Errors”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 5, May 1999, pp. 713–717, https://umj.imath.kiev.ua/index.php/umj/article/view/4657.
Section
Short communications