ON SOME NEW HADAMARD-TYPE INEQUALITIES FOR CO-ORDINATED QUASI-CONVEX FUNCTIONS

Ozdemir M. E., YILDIZ Ç., Akdemir A. O.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.41, sa.5, ss.697-707, 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.697-707
  • Anahtar Kelimeler: Quasi-convex functions, Holder Inequality, Power mean inequality, Co-ordinates, Lipschitzian function
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we establish some Hadamard-type inequalities based on co-ordinated quasi-convexity. Also we define a new mapping associated with co-ordinated convexity and prove some properties of this mapping.