Burkill integral

In mathematics, the Burkill integral is an integral introduced by Burkill (1924a, 1924b) for calculating areas. It is a special case of the Kolmogorov integral.

References

Burkill, J. C. (1924a), "Functions of intervals", Proceedings of the London Mathematical Society, 22: 275–310, doi:10.1112/plms/s2-22.1.275, ISSN 0024-6115
Burkill, J. C. (1924b), "The expression of area as an integral", Proceedings of the London Mathematical Society, 22: 311–336, doi:10.1112/plms/s2-22.1.311
Skvortsov, V.A. (2001), "b/b017780", in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4

Integrals

Numerical integration	Riemann integral Lebesgue integral Burkill integral Bochner integral Daniell integral Darboux integral Henstock–Kurzweil integral Haar integral Hellinger integral Khinchin integral Kolmogorov integral Lebesgue–Stieltjes integral Pettis integral Pfeffer integral Riemann–Stieltjes integral Regulated integral

Methods	Integration by parts Integration by substitution Inverse function integration Order of integration (calculus) trigonometric substitution Integration by partial fractions Integration by reduction formulae Integration using parametric derivatives Integration using Euler's formula Differentiation under the integral sign Contour integration

Improper Integrals	Improper integral Gaussian integral

Stochastic integrals	Itō integral Stratonovich integral Skorokhod integral

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