中点公式余项“中间点”的渐进性定理及其应用

Asymptotic Behavior Theorems of the ″Midpoint″ of Remainder in the Midpoint Formula and Their Applications

给出中点公式余项“中间点”的渐进性定理及其应用.研究表明,本文定理对于探讨有关求积公式的稳定性及其改进,具有十分重要的作用.

The asymptotic behavior theorems of the “midpoint” of remainder in the midpoint formula and their applications are presented in this paper. It is shown by this paper that the theorems have very important function to study the stability of the formula and its improving.