On new generalization of Fejer type inequalities for double integrals | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 30، دوره 14، شماره 1، فروردین 2023، صفحه 375-391 اصل مقاله (407.15 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26500.3335 | ||
| نویسندگان | ||
| Hasan Kara* 1؛ Huseyin Budak1؛ Muhammad Aamir Ali2 | ||
| 1Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey | ||
| 2Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, 210023, China | ||
| 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. | ||
| کلیدواژهها | ||
| Fejer inequality؛ co-ordinated convex functions؛ integral inequalities؛ trapezoid inequality | ||
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