On new generalization of Fejer type inequalities for double integrals

سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 47

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شناسه ملی سند علمی:

JR_IJNAA-14-1_030

تاریخ نمایه سازی: 5 شهریور 1402

چکیده 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.

نویسندگان

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