McShane integral

In the branch of mathematics known as integration theory, the McShane integral, created by Edward J. McShane,[1] is a modification of the Henstock-Kurzweil integral.[2] The McShane integral is equivalent to the Lebesgue integral.[3]

  1. ^ McShane, E. J. (1973). "A Unified Theory of Integration". The American Mathematical Monthly. 80 (4): 349–359. doi:10.2307/2319078. ISSN 0002-9890.
  2. ^ Kurtz, Douglas S. and Swartz, Charles W. (2012). Theories of integration: the integrals of Riemann, Lebesgue, Henstock-Kurzweil, and McShane (2nd ed.). Singapore: World Scientific. p. 247. ISBN 978-981-4368-99-5. OCLC 769192118.{{cite book}}: CS1 maint: multiple names: authors list (link)
  3. ^ Gordon, Russell A. (1994). The integrals of Lebesgue, Denjoy, Perron, and Henstock. Providence, R.I.: American Mathematical Society. pp. 157–163. ISBN 0-8218-3805-9. OCLC 30474120.