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On n-widths of a Sobolev function class in Orlicz spaces.
- Source :
-
Acta Mathematica Sinica . Sep2015, Vol. 31 Issue 9, p1475-1486. 12p. - Publication Year :
- 2015
-
Abstract
- This paper considers the problem of n-widths of a Sobolev function class Ω determined by P( D) = D Π( D − t I) in Orlicz spaces. The relationship between the extreme value problem and width theory is revealed by using the methods of functional analysis. Particularly, as σ = 0 or σ = 1, the exact values of Kolmogorov's widths, Gelfand's widths, and linear widths are obtained respectively, and the related extremal subspaces and optimal linear operators are given. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SOBOLEV spaces
*SET theory
*ORLICZ spaces
*PROBLEM solving
*EXTREME value theory
Subjects
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 31
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 108741603
- Full Text :
- https://doi.org/10.1007/s10114-015-4231-7