Fenchel's Duality Theorem for Nearly Convex Functions.
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| 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] |
| Copyright of Journal of Optimization Theory & Applications is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 25917504 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10957-007-9234-9 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 509 Subjects: – SubjectFull: Duality theory (Mathematics) Type: general – SubjectFull: Algebra Type: general – SubjectFull: Mathematical analysis Type: general – SubjectFull: Convex domains Type: general – SubjectFull: Convex functions Type: general – SubjectFull: Real variables Type: general – SubjectFull: Hypothesis Type: general – SubjectFull: Function spaces Type: general – SubjectFull: Fenchel-Orlicz spaces Type: general Titles: – TitleFull: Fenchel's Duality Theorem for Nearly Convex Functions. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Boţ, R. I. – PersonEntity: Name: NameFull: Grad, S. M. – PersonEntity: Name: NameFull: Wanka, G. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2007 Type: published Y: 2007 Identifiers: – Type: issn-print Value: 00223239 Numbering: – Type: volume Value: 132 – Type: issue Value: 3 Titles: – TitleFull: Journal of Optimization Theory & Applications Type: main |
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