This paper is devoted to obtain generalized results related to majorization-type inequalities by using well-known Fink’s identity and new types of Green functions, introduced by Mehmood et al. (J. Inequal. Appl. 2017:108, 2017). We give a generalized majorization theorem for the class of n-convex functions. We utilize the Csiszár f-divergence and generalized majorization-type inequalities in providing the corresponding generalizations. As an application, we present the obtained results in terms of Shannon entropy and Kullback–Leibler distance.

中文翻译：

---

通过Green函数和Fink的恒等式应用到香农熵的主要化不等式

本文致力于通过使用Mehmood等人介绍的著名Fink身份和新型Green函数来获得与主要化类型不等式有关的广义结果。（J.Inequal.Appl.2017：108，2017）。我们给出了n个凸函数类的广义主化定理。我们利用Csiszárf-散度和广义主化类型不等式来提供相应的推广。作为一种应用，我们用香农熵和库尔贝克-莱布勒距离来表示获得的结果。