left limit value

This paper gives the definition of integration of right-continuous and left-limit function under It integration case,meanwhile,discusses preliminarily the basic properties of the integration which they might realize many good applications.

在It积分框架下,给出了右连左极函数关于有界变差函数的积分定义,初步讨论了这种积分的一些有实际应用意义的基本性质。

The extended Gronwall inequalities with traditional forms are given,and a type of Gronwall inequality on integration of right-continuous and left-limit functions is also provided in this paper.

给出了传统意义下的Gronwall不等式的推广形式,并且给出了在右连左极函数积分下的一种Gronwall不等式。

Then we introduce left maximal P hereditary ring and characterize it by maximal P-injective modules.

引进了极大P-内射模的概念,讨论了它的一些基本性质及其在整环上的特殊性质;其次引进了左极大P遗传环,并用极大P-内射模对它进行刻划。