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Publication Detailed Description
14th Conference on Applied Mathematics APLIMAT 2015 Proceedings
Year (definitive publication)
2015
Language
English
Country
Slovakia
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Abstract
Separation theorems are the fundamentals of convex programming.They are important consequences of Hahn-Banach theorem. This work begins considering vector spaces, in broad sense, then normed spaces and finally Hilbert spaces. It ends with the application of these results in convexprogramming, an important tool in operations research, finance, management and economics.
Acknowledgements
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Keywords
Hahn-Banach theorem,Kuhn-Tucker theorem.,Separation theorems,Convex programming
Fields of Science and Technology Classification
- Mathematics - Natural Sciences
- Economics and Business - Social Sciences
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