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) [1994], "Burkill integral", Encyclopedia of Mathematics, EMS Press

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.

Integrals
Types of integrals	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
Integration methods	By parts Substitution Inverse functions Changing order Trigonometric substitution Euler substitution Weierstrass substitution Partial fractions Reduction formulas Parametric derivatives Euler's formula Differentiation under the integral sign Contour integration Numerical integration
Improper integrals	Gaussian integral Dirichlet integral Fermi–Dirac integral complete incomplete Bose–Einstein integral Frullani integral Common integrals in quantum field theory
Stochastic integrals	Itô integral Russo–Vallois integral Stratonovich integral Skorokhod integral