Araştırma Makalesi
Yıl 2012,
Cilt: 41 Sayı: 5, 723 - 730, 01.05.2012
Öz
Kaynakça
- Adilov, G. and Rubinov, A. B-convex sets and functions, Numerical Functional Analysis and Optimization 27 (3-4), 237–257, 2006.
- Avriel, M. R-convex functions, Mathematical Programming 2, 309–323, 1972.
- Ben-Tal, A. On generalized means and generalized convex functions, Journal of Optimization Theory and Applications 21 (1), 1–13, 1977.
- Briec, W. and Horvath, C. D. B-convexity, Optimization 53, 103–127, 2004.
- Briec, W. and Horvath, C. D. Halfspaces and Hahn-Banach like properties in B-convexity and Max-Plus convexity, Pacific J. Optim. 4 (2), 293–317, 2008.
- Briec, W, Horvath, C. D. and Rubinov, A. M. Separation in B-convexity, Pacific J. Optimiz. , 13–30, 2005.
- Hadjisavvas, N., Komlosi, S. and Schaible, S. Handbook on Generalized Convexity and Gen- eralized Monotonicity(Springer, New York, 2005).
- Kuratowski, K. Topology (Academic Press, New York, 1968).
- Rockafellar, R. T. Convex Analysis (Princeton University Press, Princeton, New Jersey, ). Rubinov, A. Abstract Convexity and Global Optimization (Kluwer Academic Publishers, Boston, Dordrecht, London, 2000).
- Singer, I. Abstract Convex Analysis (John Wiley & Sons., New York, 1997).
- Van De Vel, M. L. J. Theory of Convex Structures (North Holland Mathematical Library , North-Holland Publishing Co., Amsterdam, 1993).
Yıl 2012,
Cilt: 41 Sayı: 5, 723 - 730, 01.05.2012
Öz
In this article, the concept of convexity is considered. Generalizations of this concept, that were examined by different authors, are briefly given. In this paper, a study of two forms of abstract convexity is undertaken: one of which is B-convexity which was defined and analyzed by W. Briec and C. Horvath, the other being B−1 -convexity which is introduced and examined by us.
Anahtar Kelimeler
Kaynakça
- Adilov, G. and Rubinov, A. B-convex sets and functions, Numerical Functional Analysis and Optimization 27 (3-4), 237–257, 2006.
- Avriel, M. R-convex functions, Mathematical Programming 2, 309–323, 1972.
- Ben-Tal, A. On generalized means and generalized convex functions, Journal of Optimization Theory and Applications 21 (1), 1–13, 1977.
- Briec, W. and Horvath, C. D. B-convexity, Optimization 53, 103–127, 2004.
- Briec, W. and Horvath, C. D. Halfspaces and Hahn-Banach like properties in B-convexity and Max-Plus convexity, Pacific J. Optim. 4 (2), 293–317, 2008.
- Briec, W, Horvath, C. D. and Rubinov, A. M. Separation in B-convexity, Pacific J. Optimiz. , 13–30, 2005.
- Hadjisavvas, N., Komlosi, S. and Schaible, S. Handbook on Generalized Convexity and Gen- eralized Monotonicity(Springer, New York, 2005).
- Kuratowski, K. Topology (Academic Press, New York, 1968).
- Rockafellar, R. T. Convex Analysis (Princeton University Press, Princeton, New Jersey, ). Rubinov, A. Abstract Convexity and Global Optimization (Kluwer Academic Publishers, Boston, Dordrecht, London, 2000).
- Singer, I. Abstract Convex Analysis (John Wiley & Sons., New York, 1997).
- Van De Vel, M. L. J. Theory of Convex Structures (North Holland Mathematical Library , North-Holland Publishing Co., Amsterdam, 1993).
Toplam 11 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | İstatistik |
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Mayıs 2012 |
| Yayımlandığı Sayı | Yıl 2012 Cilt: 41 Sayı: 5 |