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

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

MISKOLC MATHEMATICAL NOTES, vol.20, no.1, pp.169-191, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.18514/mmn.2019.2436
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.169-191
  • Kocaeli University Affiliated: No

Abstract

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.