EPSILON-ENTROPY AND EPSILON-CAPACITY IN THE THEORY OF ILL-POSED PROBLEMS

Authors
SCALAS E VIANO GA
Citation
E. Scalas et Ga. Viano, EPSILON-ENTROPY AND EPSILON-CAPACITY IN THE THEORY OF ILL-POSED PROBLEMS, Inverse problems, 9(5), 1993, pp. 545-550
Citations number
12
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical",Mathematics
Journal title
Inverse problems → ACNP
ISSN journal
02665611
Volume
9
Issue
5
Year of publication
1993
Pages
545 - 550
Database
ISI
SICI code
0266-5611(1993)9:5<545:EAEITT>2.0.ZU;2-4
Abstract
We show the relationships between: (i) the epsilon-entropy of classes of holomorphic functions and the stability estimate in the analytic co ntinuation; (ii) the epsilon-capacity associated with a class of self- adjoint compact operators and the number of degrees of freedom of the regularized truncated solutions obtained by solving the corresponding integral equations.