caa a22 4500 378858424 CHVBK 20180305123340.0 cr unu---uuuuu 161128e20030601xx s 000 0 eng 10.1515/156939403766493537 doi (NATIONALLICENCE)gruyter-10.1515/156939403766493537 Scale-type-estimates for a generalized method of Lavrent'ev regularization [Elektronische Daten] [J. Janno, U. Tautenhahn] A generalized method of Lavrent'ev regularization involving an unbounded operator is studied. Assuming source condition in terms of the inverse of the unbounded operator, error estimates of scale type for the regularized solution are derived. The method is applied to ill-posed problems containing selfadjoint operators and Volterra equations of the first kind. Copyright 2003, Walter de Gruyter Janno J. Tallinn Technical University, Institute of Mathematics, Ehitajate tee 5, 19086 Tallinn, Estonia. E-mail: janno@ioc.ee aut Tautenhahn U. University of Applied Sciences Zittau/Görlitz, Department of Mathematics, P.O. Box 1455, 02755 Zittau, Germany. E-mail: u.tautenhahn@hs-zigr.de aut Journal of Inverse and Ill-posed Problems Walter de Gruyter 11/2(2003-06-01), 161-189 0928-0219 11:2<161 2003 11 jiip https://doi.org/10.1515/156939403766493537 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/156939403766493537 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Janno J. Tallinn Technical University, Institute of Mathematics, Ehitajate tee 5, 19086 Tallinn, Estonia. E-mail: janno@ioc.ee aut NATIONALLICENCE 700 1- Tautenhahn U. University of Applied Sciences Zittau/Görlitz, Department of Mathematics, P.O. Box 1455, 02755 Zittau, Germany. E-mail: u.tautenhahn@hs-zigr.de aut NATIONALLICENCE 773 0- Journal of Inverse and Ill-posed Problems Walter de Gruyter 11/2(2003-06-01), 161-189 0928-0219 11:2<161 2003 11 jiip CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter