On Generalized Convex Functions
碩士 === 元智大學 === 工業工程研究所 === 88 === A class of functions called weakly convex and weakly quasiconvex functions is introduced by relaxing the definitions of convex and quasiconvex functions. Necessary and sufficient conditions, under which a lower semi-continuous function on a nonempty closed convex s...
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2000
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| Online Access: | http://ndltd.ncl.edu.tw/handle/05369104825051284346 |
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ndltd-TW-088YZU000300522016-01-29T04:19:39Z http://ndltd.ncl.edu.tw/handle/05369104825051284346 On Generalized Convex Functions 廣義凸函數的探討 Jian-Da Huang 黃建達 碩士 元智大學 工業工程研究所 88 A class of functions called weakly convex and weakly quasiconvex functions is introduced by relaxing the definitions of convex and quasiconvex functions. Necessary and sufficient conditions, under which a lower semi-continuous function on a nonempty closed convex subsets of the n-dimensional Euclidean space is convex or quasiconvex are established. Another class of functions, called $-convex and $-B-vex, is defined. Some properties for these functions are presented. Yu-Ru Syau 蕭育如 2000 學位論文 ; thesis 26 en_US |
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NDLTD |
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en_US |
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Others
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NDLTD |
| description |
碩士 === 元智大學 === 工業工程研究所 === 88 === A class of functions called weakly convex and weakly quasiconvex functions is introduced by relaxing the definitions of convex and quasiconvex functions. Necessary and sufficient conditions, under which a lower semi-continuous function on a nonempty closed convex subsets of the n-dimensional Euclidean space is convex or quasiconvex are established. Another class of functions, called $-convex and $-B-vex, is defined. Some properties for these functions are presented.
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| author2 |
Yu-Ru Syau |
| author_facet |
Yu-Ru Syau Jian-Da Huang 黃建達 |
| author |
Jian-Da Huang 黃建達 |
| spellingShingle |
Jian-Da Huang 黃建達 On Generalized Convex Functions |
| author_sort |
Jian-Da Huang |
| title |
On Generalized Convex Functions |
| title_short |
On Generalized Convex Functions |
| title_full |
On Generalized Convex Functions |
| title_fullStr |
On Generalized Convex Functions |
| title_full_unstemmed |
On Generalized Convex Functions |
| title_sort |
on generalized convex functions |
| publishDate |
2000 |
| url |
http://ndltd.ncl.edu.tw/handle/05369104825051284346 |
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1718169577341321216 |