ON HERMITE-HADAMARD TYPE INEQUALITIES FOR <i>F</i>-CONVEX FUNCTION

Budak H., Tunc T., Sarikaya M. Z.

MISKOLC MATHEMATICAL NOTES, cilt.20, sa.1, ss.169-191, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.18514/mmn.2019.2436
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.169-191
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this study, we firstly give some properties the family F and F-convex function which are defined by B. Samet. Then, we obtain some midpoint inequalities for differentiable function. Moreover, we establish some midpoint and trapezoid type inequalities for function whose second derivatives in absolute value are F-convex.