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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
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Abstract

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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