摘要
对一个含幂指数的有趣的不等式猜想,引进符号等价的概念,并借助于优势理论及Mathematica数学软件解决这个猜想,并对这个猜想作一些推广.
In this paper, by introducing the concept of symbol equivalence by using the majorization theory and the Mathematica software we solve an interesting conjecture:whether or not the following inequality is true?x^y+y^x2(xy)^(xy), x,y>1propsed recently. Moreover, we obtain some generalizations of the inequality.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2005年第2期245-249,共5页
Journal of Sichuan Normal University(Natural Science)
关键词
幂指数
Schur-凸函数
猜想
优势理论
Power-exponent
Schur-convex function
Conjecture
Majorized inequality