mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...

, the Kolmogorov integral (or Kolmogoroff integral) is a generalized integral introduced by including the Lebesgue–Stieltjes integral, the

Burkill integral In mathematics, the Burkill integral is an integral introduced by for calculating areas. It is a special case of the Kolmogorov integral In mathematics, the Kolmogorov integral (or Kolmogoroff integral) is a generalized integral introduced by in ...

, and the Hellinger integral as special cases. The integral is a limit over a directed family of partitions, when the resulting limiting value is independent of the tags of each partition segment.

References

* * {{integral Definitions of mathematical integration