含幂指数的一个不等式猜想的研究

Some Developments of Studies for a Conjecture of Inequalities Involving Power-exponent

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^x2(xy)^(xy), x,y>1propsed recently. Moreover, we obtain some generalizations of the inequality.