On new generalization of Fejer type inequalities for double integrals

نویسندگان

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

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

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

doi
10.22075/ijnaa.2022.26500.3335
چکیده

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.