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.
Kara,H , Budak,H and Ali,M Aamir. (2023). On new generalization of Fejer type inequalities for double integrals. International Journal of Nonlinear Analysis and Applications, 14(1), 375-391. doi: 10.22075/ijnaa.2022.26500.3335
MLA
Kara,H , , Budak,H , and Ali,M Aamir. "On new generalization of Fejer type inequalities for double integrals", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 375-391. doi: 10.22075/ijnaa.2022.26500.3335
HARVARD
Kara H, Budak H, Ali M Aamir. (2023). 'On new generalization of Fejer type inequalities for double integrals', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 375-391. doi: 10.22075/ijnaa.2022.26500.3335
CHICAGO
H Kara, H Budak and M Aamir Ali, "On new generalization of Fejer type inequalities for double integrals," International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 375-391, doi: 10.22075/ijnaa.2022.26500.3335
VANCOUVER
Kara H, Budak H, Ali M Aamir. On new generalization of Fejer type inequalities for double integrals. IJNAA. 2023;14(1):375-391. doi: 10.22075/ijnaa.2022.26500.3335
International Journal of Nonlinear Analysis and Applications