Bibliographic Details
| Title: |
Fenchel's Duality Theorem for Nearly Convex Functions. |
| Authors: |
Boţ, R. I.1 bot@mathematik.tu-chemnitz.de, Grad, S. M.1, Wanka, G.1 |
| Source: |
Journal of Optimization Theory & Applications. Mar2007, Vol. 132 Issue 3, p509-515. 7p. |
| Subjects: |
Duality theory (Mathematics), Algebra, Mathematical analysis, Convex domains, Convex functions, Real variables, Hypothesis, Function spaces, Fenchel-Orlicz spaces |
| Abstract: |
We present an extension of Fenchel's duality theorem by weakening the convexity assumptions to near convexity. These weak hypotheses are automatically fulfilled in the convex case. Moreover, we show by a counterexample that a further extension to closely convex functions is not possible under these hypotheses. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
