MULTI-PARAMETER GENERALIZATION OF RADO-POPOVICIU INEQUALITIES

被引:0
作者
Zhang, Jing [1 ]
Shi, Huan-Nan [2 ]
机构
[1] Beijing Union Univ, Basic Courses Dept, Beijing 100101, Peoples R China
[2] Beijing Union Univ, Teachers Coll, Dept Elect Informat, Beijing 100011, Peoples R China
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2016年 / 10卷 / 02期
基金
中国国家自然科学基金;
关键词
Rado's inequality; Popoviciu's inequality; majorization; Schur-concavity; symmetric function; dual form; convex function;
D O I
10.7153/jmi-10-46
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By using methods on the theory of majorization, new generalizations of Rado's inequality and Popoviciu's inequality which involves multi-parameter are established.
引用
收藏
页码:577 / 582
页数:6
相关论文
共 11 条
  • [1] ALZER H., 1989, J PURE APPL MATH SCI, V24, P125
  • [2] BENCZE M., 1991, GAZETA MAT, V96, P159
  • [3] Marshall AW, 2011, SPRINGER SER STAT, P3, DOI 10.1007/978-0-387-68276-1
  • [4] MIHESAN VASILE, 2005, INT J PURE APPL MATH, V23, P293
  • [5] MITRINOVIC D. S., 1993, CLASSICAL NEW INEQUA, P21
  • [6] Mitrinovic D.S., 1970, ANAL INEQUALITIES, P74
  • [7] Shi H. N., 2012, Theory of majorization and analytic inequalities
  • [8] [石焕南 Shi Huannan], 2002, [四川师范大学学报. 自然科学版, Journal of Sichuan Normal University.Natural science ed.], V25, P510
  • [9] Wang B.-Y., 1990, Foundations of Majorization Inequalities