Schur-Convexity for Elementary Symmetric Composite Functions and Their Inverse Problems and Applications

被引：2

作者：

Zhang, Tao ^{[1
,2
]}

Chen, Alatancang ^{[1
,2
]}

Shi, Huannan ^{[3
]}

Saheya, B. ^{[1
,2
]}

Xi, Boyan ^{[4
]}

机构：

[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China

[2] Ctr Appl Math Sci, Hohhot 010022, Peoples R China

[3] Beijing Union Univ, Teachers Coll, Dept Elect Informat, Beijing 100011, Peoples R China

[4] Inner Mongolia Univ Nationalities, Coll Math, Tongliao 028043, Peoples R China

来源：

SYMMETRY-BASEL | 2021年 / 13卷 / 12期

关键词：

symmetric function; Schur-convexity; inequality; special means; HARMONIC CONVEXITIES;

D O I：

10.3390/sym13122351

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper investigates the Schur-convexity, Schur-geometric convexity, and Schur-harmonic convexity for the elementary symmetric composite function and its dual form. The inverse problems are also considered. New inequalities on special means are established by using the theory of majorization.

引用

页数：13

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