区间上拟对称函数的延拓定理

The Extension Theorem of Quasisymmetric Function on the Interval

探索区间上的K-拟对称函数可延拓成整个实轴R上拟对称函数的条件,并对其拟对称的偏差界限作进一步的估计,得到比Lehto和Virtanen研究相应问题更好的结果.作为应用,文中还进一步估计化分段拟对称函数为整体拟对称函数的偏差.

The interval quasi-symmetric function can be extended to the whole X axis one is studied, the better distortion than Lehto and Virtanen＇s is obtained. As an application, sharper research also made on piecewise quasi-symmetric function that can be extended into the whole one.