ON GENERALIZATIONS OF THE CONCEPT OF CONVEXITY

ADİLOV G., Yesilce I.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.41, sa.5, ss.723-730, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 5
  • Basım Tarihi: 2012
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.723-730
  • Anahtar Kelimeler: Abstract convexity, B-convexity, B-1-convexity
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.