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On new generalization of Fejer type inequalities for double integrals

عنوان مقاله: On new generalization of Fejer type inequalities for double integrals
شناسه ملی مقاله: JR_IJNAA-14-1_030
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:

Hasan Kara - Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey
Huseyin Budak - Department of Mathematics, Faculty of Science and Arts, Duzce University, Duzce, Turkey
Muhammad Ali - Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, ۲۱۰۰۲۳, China

خلاصه مقاله:
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}^{۲}. More specifically, we establish new inequalities using the Holder and power-mean inequalities. In addition, we obtain new results with special choices.

کلمات کلیدی:
Fejer inequality, co-ordinated convex functions, Integral inequalities, Trapezoid Inequality

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1740104/