On a theorem of Baire about lower semicontinuous functions
A theorem of Baire concerning the approximation of lower semicontinuous real valued functions defined on a metric space, by increasing sequences of continuous functions is extended to the "nonsymmetric" case, i.e. for quasi-metric spaces.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Publishing House of the Romanian Academy
2008-02-01
|
| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/877 |
| _version_ | 1811293367089233920 |
|---|---|
| author | Costică Mustăţa |
| author_facet | Costică Mustăţa |
| author_sort | Costică Mustăţa |
| collection | DOAJ |
| description | A theorem of Baire concerning the approximation of lower semicontinuous real valued functions defined on a metric space, by increasing sequences of continuous functions is extended to the "nonsymmetric" case, i.e. for quasi-metric spaces. |
| first_indexed | 2024-04-13T05:00:20Z |
| format | Article |
| id | doaj.art-fb14f59b458745878bdf5012c40c136e |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-13T05:00:20Z |
| publishDate | 2008-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-fb14f59b458745878bdf5012c40c136e2022-12-22T03:01:22ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2008-02-01371On a theorem of Baire about lower semicontinuous functionsCostică Mustăţa0Tiberiu Popoviciu Institute of Numerical AnalysisA theorem of Baire concerning the approximation of lower semicontinuous real valued functions defined on a metric space, by increasing sequences of continuous functions is extended to the "nonsymmetric" case, i.e. for quasi-metric spaces.https://ictp.acad.ro/jnaat/journal/article/view/877quasi-metric spacesemi-Lipschitz functionapproximation |
| spellingShingle | Costică Mustăţa On a theorem of Baire about lower semicontinuous functions Journal of Numerical Analysis and Approximation Theory quasi-metric space semi-Lipschitz function approximation |
| title | On a theorem of Baire about lower semicontinuous functions |
| title_full | On a theorem of Baire about lower semicontinuous functions |
| title_fullStr | On a theorem of Baire about lower semicontinuous functions |
| title_full_unstemmed | On a theorem of Baire about lower semicontinuous functions |
| title_short | On a theorem of Baire about lower semicontinuous functions |
| title_sort | on a theorem of baire about lower semicontinuous functions |
| topic | quasi-metric space semi-Lipschitz function approximation |
| url | https://ictp.acad.ro/jnaat/journal/article/view/877 |
| work_keys_str_mv | AT costicamustata onatheoremofbaireaboutlowersemicontinuousfunctions |