A new proof of the Orlicz–Lorentz centroid inequality

Abstract In this paper, we give another proof of the Orlicz–Lorentz centroid inequality which is obtained by Nguyen (Adv. Appl. Math. 92:99–121, 2018). We prove that a family of parallel chord movement under the Orlicz–Lorentz centroid operator is a shadow system along the same direction.

Bibliographic Details
Main Authors: Fangwei Chen, Congli Yang
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-1962-5