Epsilon -entropy and epsilon -capacity in the theory of ill-posed problems

E. Scalas; G. A. Viano

doi:10.1088/0266-5611/9/5/004

Epsilon -entropy and epsilon -capacity in the theory of ill-posed problems

E. Scalas
, G. A. Viano

Research output: Contribution to journal › Article › peer-review

Abstract

We show the relationships between: (i) the epsilon -entropy of classes of holomorphic functions and the stability estimate in the analytic continuation; (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.

Original language	English
Article number	004
Pages (from-to)	545-550
Number of pages	6
Journal	Inverse Problems
Volume	9
Issue number	5
DOIs	https://doi.org/10.1088/0266-5611/9/5/004
Publication status	Published - 1993
Externally published	Yes

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title = "Epsilon -entropy and epsilon -capacity in the theory of ill-posed problems",

abstract = "We show the relationships between: (i) the epsilon -entropy of classes of holomorphic functions and the stability estimate in the analytic continuation; (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.",

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T1 - Epsilon -entropy and epsilon -capacity in the theory of ill-posed problems

AU - Scalas, E.

AU - Viano, G. A.

PY - 1993

Y1 - 1993

N2 - We show the relationships between: (i) the epsilon -entropy of classes of holomorphic functions and the stability estimate in the analytic continuation; (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.

AB - We show the relationships between: (i) the epsilon -entropy of classes of holomorphic functions and the stability estimate in the analytic continuation; (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.

UR - https://www.scopus.com/pages/publications/0037918327

U2 - 10.1088/0266-5611/9/5/004

DO - 10.1088/0266-5611/9/5/004

M3 - Article

SN - 0266-5611

VL - 9

SP - 545

EP - 550

JO - Inverse Problems

JF - Inverse Problems

IS - 5

M1 - 004

ER -

Epsilon -entropy and epsilon -capacity in the theory of ill-posed problems

Abstract

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