2011 YÜksek lisans tez özetleri


Mathematıcal Programmıng And Dualıty In Fınıte Dımensıonal Spaces



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Mathematıcal Programmıng And Dualıty In Fınıte Dımensıonal Spaces

In this study, initially the basic properties of convex set and convex function which are formed the basis of the convex analysis, were given. By examining structures of convex conjugate functions which have an important place in duality theory, the relationships between the convex functions and convex conjugate functions were researched. Then some of optimization problems were defined and the relationship between solutions of primal problems and the dual problems were given by const\-ructing dual problems of these optimization problems. Finally, solutions of convex optimization problems were examined with the help of the conjugate function using Fenchel duality.

  

KURNAZ Fatma Sevinç

Danışman : Yard. Doç. Dr. Kadri Ulaş AKAY

Anabilim Dalı : Matematik

Mezuniyet Yılı : 2011

Tez Savunma Jürisi : Yard. Doç. Dr. Kadri Ulaş AKAY

Prof. Dr. Nazım SADIK

Prof. Dr. İ. Müfit GİRSUNLU

Prof. Dr. Müjgan TEZ

Prof. Dr. Türker ÖZKAN


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