Weighted Ostrowski type inequalities for co-ordinated convex functions

Abstract

Abstract In this paper, utilizing an identity given by Yıldız and Sarıkaya in (Yildiz and Sarikaya in Int. J. Anal. Appl. 13(1):64–69, 2017), we establish some weighted Ostrowski type inequalities for co-ordinated convex functions in a rectangle from the plane R 2 $\mathbb{R} ^{2}$ . Moreover, as special cases of our main results, we give some weighted Hermite–Hadamard type inequalities. The results given in this paper provide generalizations of some result established in earlier works.

Keywords

• Ostrowski inequality
• Hermite–Hadamard–Fejer inequality
• Co-ordinated convex
• Integral inequalities