The aim of this paper is to introduce the definition of a generalized strongly -convex function for higher order. We will develop some basic results related to generalized strongly -convex function of higher order. Moreover, we will develop Hermite–Hadamard-, Fejér-, and Schur-type inequalities for this generalization.

中文翻译：

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关于高阶广义强凸函数

本文的目的是介绍一广义强的定义-凸函数高阶。我们将制定相关的强广义一些基本的结果-高阶的凸函数。此外，我们将针对此推广建立Hermite-Hadamard-，Fejér-和Schur型不等式。