Extended Hermite-Hadamard $(H-H)$ and Fejer's inequalities based on $(h_1,h_2,s)$-convex functions

	Extended Hermite-Hadamard $(H-H)$ and Fejer's inequalities based on $(h_1,h_2,s)$-convex functions
International Journal of Nonlinear Analysis and Applications
مقاله 233، دوره 13، شماره 1، خرداد 2022، صفحه 2885-2895 اصل مقاله (431.12 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6015
نویسندگان
Sabir Yasin^* ¹؛ Masnita Misiran¹^{، 2}؛ Zurni Omar¹
¹Department of Mathematics and Statistics, School of Quantitative Sciences, Utara University, Malaysia, 06010 UUM Sintok, Kedah, Malaysia
²Centre for Testing, Measurement and Appraisal, Utara University, Malaysia, 06010 UUM Sintok, Kedah, Malaysia
چکیده
In this paper, $(h_1,h_2)$-convex and $s$-convex functions are merged to form $(h_1,h_2,s)$-convex function. Inequalities of the Hermite-Hadamard (H-H) and Fejer's types will then be extended by using the $(h_1,h_2,s)$-convex function and its derivatives. Some special cases for these extended H-H and Fejer's inequalities are also explored in order to get the previously specified results. The relationship between newly constructed Hermite-Hadamard $(H-H)$ and Fejer's types of inequalities with the average (mean) values are also discussed.
کلیدواژه‌ها
Inequality؛ Hermite-Hadamard (H-H)؛ Fejer؛ Convex function
مراجع

آمار تعداد مشاهده مقاله: 16,140 تعداد دریافت فایل اصل مقاله: 9,906

پیوندهای مفید

آمار