华罗庚-王中烈不等式的一些推广(英文)

Some Generalizations for Inequalities of Hua-Wang Type

英文关键词:inequality  generalization  method.

中文摘要:

      在数学上和美学上都有意义的一些不等式链,是已知的一类华罗庚-王中烈型不等式的推广.在建立不等式的方法中有两种是近些年出现的:其一是基于最近Sándor的恰当想法;其二是利用非线性正泛函的特性.本文展示了具有新形式的不等式,还展示了建立它们的若干方法。

英文摘要:

      Some chains of inequalities of Hua-Wang type are established. These interesting results are the generalizations of some known inequalities. One of the new methods establishing inequalities is based on Sándor's good idea; another is applying the characteristics of nonlinear positive functionals.