CAJ | 학술논문

Schur凸函数在分析不等式、广义均值、实验统计、图表和矩阵、组合优化、可靠性、信息安全、随机排序等领域有着重要的应用.所以,研究多个变量的对称函数的Schur凸性有着重要的意义.本文推广了关开中的对称函数,得到了一类新的对称函数,并利用著名的Schur条件,研究了这类对称函数的Schur凸性.
Schur철함수재분석불등식、엄의균치、실험통계、도표화구진、조합우화、가고성、신식안전、수궤배서등영역유착중요적응용.소이,연구다개변량적대칭함수적Schur철성유착중요적의의.본문추엄료관개중적대칭함수,득도료일류신적대칭함수,병이용저명적Schur조건,연구료저류대칭함수적Schur철성.
The Schur-convex function has many important applications in analytic inequalities,generalized means,statistics experiment,chart and matrix,combinatorial optimization,reliability,information security,random sorting,etc.So it is important that Schur-convexity for symmetric functions of several variables is researched.In this paper,Guan’s symmetric function was improved,and a class of symmetric functions were derived.By so-called Schur’s condition,Schur-convexity is studied for a class of symmetric functions.