New Ostrowski type conformable fractional inequalities concerning differentiable generalized relative semi-$(r; m, p, q, h_1, h_2)$-preinvex mappings

	New Ostrowski type conformable fractional inequalities concerning differentiable generalized relative semi-$(r; m, p, q, h_1, h_2)$-preinvex mappings
International Journal of Nonlinear Analysis and Applications
مقاله 77، دوره 12، شماره 1، مرداد 2021، صفحه 945-962 اصل مقاله (459.16 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.13075.1673
نویسندگان
Artion Kashuri^* ؛ Rozana Liko
Department of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, 9400, Vlora, Albania
چکیده
In this article, we first presented a new integral identity concerning differentiable mappings defined on m-invex set. By using the notion of generalized relative semi-$(r; m, p, q, h_1, h_2)$-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Ostrowski type conformable fractional integral inequalities are established. It is pointed out that some new special cases can be deduced from main results of the article.
کلیدواژه‌ها
Ostrowski type inequality؛ Holder's inequality؛ Minkowski inequality؛ power mean inequality؛ m-invex
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