Document Type : Research Paper

Authors

• Hasan Kara ¹
• Huseyin Budak ¹
• Muhammad Aamir Ali ²

¹ Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey

² Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China

Abstract

In this article, we first establish weighted identities based on twice partially differentiable mappings. Moreover, utilizing this equality, we derive  the weighted Hermite-Hadamard type inequalities via co-ordinated convex mappings in a rectangle from the plane ${\mathbb{R}}^2$. More specifically, we establish new inequalities using the Holder and power-mean inequalities. In addition, we obtain new results with special choices.

Keywords

• Fejer inequality
• co-ordinated convex functions
• integral inequalities
• trapezoid inequality