English

Adaptive optimal regularization of the linear ill posed integral equations

Numerical Analysis 2010-04-06 v1 Statistics Theory Statistics Theory

Abstract

We construct an adaptive asymptotically optimal in order in the L(2) L(2) sense a solution (estimation) of an integral linear equation of a first kind and energy of this solution with the confidence region building, also adaptive.

Keywords

Cite

@article{arxiv.1004.0662,
  title  = {Adaptive optimal regularization of the linear ill posed integral equations},
  author = {E. Ostrovsky L. Sirota},
  journal= {arXiv preprint arXiv:1004.0662},
  year   = {2010}
}
R2 v1 2026-06-21T15:06:35.437Z