Abstract
dc:descriptionIn the 1960's, a notion of convergence for a sequence of convex functions was studied by Wijsman, Mosco, and Joly. This convergence, not comparable to pointwise convergence, has several important properties: it is preserved under the Fenchel transform, and it is equivalent to a convergence which can be defined for the sequence of subdifferentials corresponding to the given convex functions. In this thesis simple conditions are established under which this convergence is preserved under the operations of addition, infimal convolution, and composition with linear transformations.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Bergstrom, Roy Clarence
Subjects
dc:subject × 1Rights
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8108449
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/68176