Convergence of sequences of semi-continuous functions
| dc.contributor.author | Van der Walt, Jan Harm | |
| dc.contributor.email | janharm.vanderwalt@up.ac.za | en_ZA |
| dc.date.accessioned | 2017-01-10T09:59:52Z | |
| dc.date.available | 2017-01-10T09:59:52Z | |
| dc.date.issued | 2012-04 | |
| dc.description.abstract | In this paper we investigate how three well-known modes of convergence for (real-valued) functions are related to one another. In particular, we consider order convergence, pointwise convergence and continuous convergence of sequences of nearly finite normal lower semi-continuous functions. There is a natural comparison to be made between the results we obtain for convergence of sequences of semi-continuous functions, and classic results on the convergence of sequences of measurable functions. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.librarian | hb2016 | en_ZA |
| dc.description.uri | http://www.elsevier.com/locate/jmaa | en_ZA |
| dc.identifier.citation | Van der Walt, JH 2012, 'Convergence of sequences of semi-continuous functions', Journal of Mathematical Analysis and Applications, vol. 388, no. 2, pp. 739-752. | en_ZA |
| dc.identifier.issn | 0022-247X (print) | |
| dc.identifier.issn | 1096-0813 (online) | |
| dc.identifier.other | 10.1016/j.jmaa.2011.09.063 | |
| dc.identifier.uri | http://hdl.handle.net/2263/58463 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Elsevier | en_ZA |
| dc.rights | © 2011 Elsevier Inc. All rights reserved. This is an open access article under an Elsevier user license. | en_ZA |
| dc.subject | Semi-continuous functions | en_ZA |
| dc.subject | Order convergence | en_ZA |
| dc.subject | Pointwise convergence | en_ZA |
| dc.subject | Continuous convergence | en_ZA |
| dc.title | Convergence of sequences of semi-continuous functions | en_ZA |
| dc.type | Article | en_ZA |