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New fractional integral inequalities pertaining 2D–approximately coordinate (r1,ℏ1)-(r2,ℏ2)–convex functions
Alexandria Engineering Journal ( IF 6.2 ) Pub Date : 2021-07-08 , DOI: 10.1016/j.aej.2021.06.044
Ying-Qing Song , Saad Ihsan Butt , Artion Kashuri , Jamshed Nasir , Muhammad Nadeem

In this article the authors introduce the concept of two dimensional approximately coordinate (r1,1)(r2,2)–convex function that generalize several known coordinate convexity classes. Some refinements of Hermite–Hadamard like inequalities pertaining approximately coordinate (r1,1)(r2,2)–convex functions are obtain and several special cases from the main results are discussed in details. Finally, from our main results some known results are recaptured as well.



中文翻译:

与二维近似坐标 (r1,ℏ1)-(r2,ℏ2) 相关的新分数积分不等式 - 凸函数

在本文中作者介绍了二维近似坐标的概念 (r1,1)——(r2,2)– 凸函数,概括了几个已知的坐标凸性类。Hermite-Hadamard 的一些改进,如关于近似坐标的不等式(r1,1)——(r2,2)- 凸函数得到,并详细讨论了主要结果中的几种特殊情况。最后,从我们的主要结果中也重新获得了一些已知的结果。

更新日期:2021-07-08
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