A note on convex functions
In this paper, we give two weak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299225252 |
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| _version_ | 1832561722123091968 |
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| author | Yu-Ru Syau |
| author_facet | Yu-Ru Syau |
| author_sort | Yu-Ru Syau |
| collection | DOAJ |
| description | In this paper, we give two weak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions. |
| format | Article |
| id | doaj-art-9b6c8300cfec49c8bde33ddb597b85fc |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9b6c8300cfec49c8bde33ddb597b85fc2025-02-03T01:24:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122352553410.1155/S0161171299225252A note on convex functionsYu-Ru Syau0Department of Industrial Engineering, Yuan Ze University, Taoyuan 320, TaiwanIn this paper, we give two weak conditions for a lower semi-continuous function on the n-dimensional Euclidean space Rn to be a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex functions.http://dx.doi.org/10.1155/S0161171299225252Convex functionslower semi-continuous functionsquasi-convex functions. |
| spellingShingle | Yu-Ru Syau A note on convex functions International Journal of Mathematics and Mathematical Sciences Convex functions lower semi-continuous functions quasi-convex functions. |
| title | A note on convex functions |
| title_full | A note on convex functions |
| title_fullStr | A note on convex functions |
| title_full_unstemmed | A note on convex functions |
| title_short | A note on convex functions |
| title_sort | note on convex functions |
| topic | Convex functions lower semi-continuous functions quasi-convex functions. |
| url | http://dx.doi.org/10.1155/S0161171299225252 |
| work_keys_str_mv | AT yurusyau anoteonconvexfunctions AT yurusyau noteonconvexfunctions |