Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-25T01:02:15.490Z Has data issue: false hasContentIssue false
  • English
  • Français

Repeated Riemann integrals

Published online by Cambridge University Press:  24 October 2008

B. C. Rennie
B. C. Rennie
Affiliation:
James Cook University, Queensland 4811, Australia
Get access Rights & Permissions [Opens in a new window]

Extract

Let f(x, y) be a bounded real function on the unit square. Consider the Riemann integrals (if they exist)

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 76 , Issue 1 , July 1974 , pp. 187 - 189
Copyright
Copyright © Cambridge Philosophical Society 1974

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Young, W. H.On parametric integration. Monatsh. Math. und Phys. 21 (1910), 125–149.CrossRefGoogle Scholar
(2)Lichtenstein, L.Ueber die Integration eines bestimmten Integrals in Bezug auf einen Parameter. Göttingen Nachrichten (1910), 468–475.Google Scholar
(3)Gillespie, D. C.Repeated integrals. Ann. of Math. 20 (1919), 224–228.CrossRefGoogle Scholar
(4)Sierpiński W. Sur un problème concernant les ensembles mesurables superficiellement. Fund. Math. 1 (1920), 112–115.CrossRefGoogle Scholar