Document Type : Research Paper
Authors
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