Definition of Henstock. Meaning of Henstock. Synonyms of Henstock

- 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...
- 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...
- Lebesgue's differentiation theorem. These results remain true for the Henstock–Kurzweil integral, which allows a larger class of integrable functions...
- locally compact topological groups, introduced by Alfréd Haar in 1933. The Henstock–Kurzweil integral, variously defined by Arnaud Denjoy, Oskar Perron, and...
- McShane integral, created by Edward J. McShane, is a modification of the Henstock-Kurzweil integral. The McShane integral is equivalent to the Lebesgue integral...
- but this use requires the continuity of the derivative. If one uses the Henstock–Kurzweil integral one can have the mean value theorem in integral form...
- partition. Regulated integral Riemann integral Riemann–Stieltjes integral Henstock–Kurzweil integral Brannan, D. A. (2006). A First Course in Mathematical...
- dimensions, and in other theoretical frameworks such as Lebesgue integration or Henstock–Kurzweil integration. Integrals that are considered improper in one framework...