Metric and probabilistic information associated with Fredholm integral equations of the first kind (Articolo in rivista)

Type
Label
  • Metric and probabilistic information associated with Fredholm integral equations of the first kind (Articolo in rivista) (literal)
Anno
  • 2002-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1216/jiea/1181074917 (literal)
Alternative label
  • De Micheli Enrico; Viano Giovanni Alberto (2002)
    Metric and probabilistic information associated with Fredholm integral equations of the first kind
    in The Journal of integral equations and applications
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • De Micheli Enrico; Viano Giovanni Alberto (literal)
Pagina inizio
  • 283 (literal)
Pagina fine
  • 310 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jiea/1181074917 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 14 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 28 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 3 (literal)
Note
  • athSciNet (literal)
  • Google Scholar (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto di Biofisica, Consiglio Nazionale delle Ricerche, Genova, Italy - Dipartimento di Fisica, Universita' di Genova, Genova, Italy (literal)
Titolo
  • Metric and probabilistic information associated with Fredholm integral equations of the first kind (literal)
Abstract
  • The problem of evaluating the information associated with Fredholm integral equations of the first kind, when the integral operator is self-adjoint and compact, is considered here. The data function is assumed to be perturbed gently by an additive noise so that it still belongs to the range of the operator. First we estimate upper and lower bounds for the ?-capacity (and then for the metric information), and explicit computations in some specific cases are given; then the problem is reformulated from a probabilistic viewpoint and use is made of the probabilistic information theory. The results obtained by these two approaches are then compared. (literal)
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