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A modified form of Siegel's mean value theorem. II

Published online by Cambridge University Press:  24 October 2008

A. M. Macbeath  and
C. A. Rogers
A. M. Macbeath
Affiliation:
Queen's CollegeDundee
C. A. Rogers
Affiliation:
The University Birmingham, 15
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Extract

The object of this note is to prove the following generalization (from Riemann to Lebesgue integrable functions) of a theorem already proved by the authors (1). The notation and terminology of the earlier paper are used.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 54 , Issue 3 , July 1958 , pp. 322 - 326
Copyright
Copyright © Cambridge Philosophical Society 1958

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References

REFERENCES

(1)Macbeath, A. M. and Rogers, C. A.Proc. Camb. Phil. Soc. 51 (1955), 565–76.CrossRefGoogle Scholar
(2)Jack, H. and Macbeath, A. M.Proc. Camb. Phil. Soc. (in the Press).Google Scholar
(3)Halmos, P.Measure theory (New York, 1950).CrossRefGoogle Scholar