In this article the authors introduce the concept of two dimensional approximately coordinate $(r_1,{\hslash }_1)$–$(r_2,{\hslash }_2)$–convex function that generalize several known coordinate convexity classes. Some refinements of Hermite–Hadamard like inequalities pertaining approximately coordinate $(r_1,{\hslash }_1)$–$(r_2,{\hslash }_2)$–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：

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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 $(r_1,{\hslash }_1)$——$(r_2,{\hslash }_2)$– 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$(r_1,{\hslash }_1)$——$(r_2,{\hslash }_2)$- 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。