Hostname: page-component-77c89778f8-gq7q9 Total loading time: 0 Render date: 2024-07-22T05:47:28.224Z Has data issue: false hasContentIssue false
  • English
  • Français

Equal Integrals of Functions

Published online by Cambridge University Press:  20 November 2018

F. S. Cater
F. S. Cater*
Affiliation:
Department of Mathematics, Portland State University, PortlandOregon 97207
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let f1, . . . , fk be finitely many L1-functions on a measurable set E, and let d and r be numbers such that ∫E, fj, — d > r > 0 for all j. Then there is a measurable subset S of E such that ∫s fj = r for all j.

Keywords

28A25integralL1-functionmeasurable set
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 28 , Issue 2 , 01 June 1985 , pp. 200 - 204
Copyright
Copyright © Canadian Mathematical Society 1985

References

1. Klamkin, M.S., McGregor, J. and Meir, A., Problem 6440, American Math. Monthly, 90, 8 (1983), p. 569.Google Scholar