2-赋范空间和拟Banach空间中的华罗庚不等式

华罗庚在1965年发现的华罗庚不等式在数论中有着重要的应用,它得到了很多的推广。将华罗庚不等式推广到严格凸的2-赋范空间和拟Banach空间。

华罗庚－王中烈型不等式

用控制不等式理论和动态规划方法推广了华罗庚王中烈的不等式，并建立了类似的其他结果．

logx／（x－1）的界和平均值

通过研究函数ｌｏｇｘ／（ｘ－１）（ｘ＞０，ｘ≠１）的界，本文改进了Ｋａｒａｍａｔａ不等式。

Some Generalizations for Inequalities of Hua-Wang Type

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 Sandor's good idea; another is applying the characteristics of nonlinear positive functionals.