Schur convexity properties of the weighted arithmetic integral mean and Chebyshev functional

In this paper, we discuss the Schur convexity, Schur geometrical convexity and Schur harmonic convexity of the weighted arithmetic integral mean and Chebyshev functional. Several sufficient conditions, and necessary and sufficient conditions are established.

Bibliographic Details
Main Authors: Long Bo-Yong, Jiang Yue-Ping, Chu Yu-Ming
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2013-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/983