- In mathematics, the
Henstock–Kurzweil
integral or
generalized Riemann integral or
gauge integral – also
known as the (narrow)
Denjoy integral (pronounced...
-
Ralph Henstock (2 June 1923 – 17
January 2007) was an
English mathematician and author. As an
Integration theorist, he is
notable for
Henstock–Kurzweil...
-
comprehension axioms needed. Cousin's
theorem is
instrumental in the
study of
Henstock–Kurzweil integration, and in this context, it is
known as Cousin's lemma...
- Denjoy: the
narrow Denjoy integral, or just
Denjoy integral, also
known as
Henstock–Kurzweil integral, the (more general) wide
Denjoy integral, or Khinchin...
- Lebesgue's
differentiation theorem.
These results remain true for the
Henstock–Kurzweil integral,
which allows a
larger class of
integrable functions...
-
integration technique created by
Washek Pfeffer as an
attempt to
extend the
Henstock–Kurzweil
integral to a
multidimensional domain. This was to be done in...
-
McShane integral,
created by
Edward J. McShane, is a
modification of the
Henstock-Kurzweil integral. The
McShane integral is
equivalent to the
Lebesgue integral...
- the
sense of the
improper Riemann integral or the
generalized Riemann or
Henstock–Kurzweil integral. This can be seen by
using Dirichlet's test for improper...
-
locally compact topological groups,
introduced by Alfréd Haar in 1933. The
Henstock–Kurzweil integral,
variously defined by
Arnaud Denjoy,
Oskar Perron, and...
- partition.
Regulated integral Riemann integral Riemann–Stieltjes
integral Henstock–Kurzweil
integral Brannan, D. A. (2006). A
First Course in Mathematical...
