On Resolvent Estimates For Abel Integral Operators And The Regularization Of Associated First Kind Integral Equations
by
R. Plato
| Venue: | J. INT. EQS. APPL |
| Citations: | 6 - 1 self |
BibTeX
@ARTICLE{Plato_onresolvent,
author = {R. Plato},
title = {On Resolvent Estimates For Abel Integral Operators And The Regularization Of Associated First Kind Integral Equations},
journal = {J. INT. EQS. APPL},
year = {},
volume = {9},
pages = {253--278}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
In this paper resolvent estimates for Abel integral operators are provided. These estimates are applied to deduce regularizing properties of Lavrentiev's m-times iterated method as well as iterative schemes (with the discrepancy principle as corresponding parameter choice or stopping rule, respectively) for solving the corresponding Abel integral equations of the first kind.
