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A property of Cesàro-Perron integrals

Published online by Cambridge University Press:  20 January 2009

L. S. Bosanquet
L. S. Bosanquet
Affiliation:
University College, London.
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It is well known that if f(t) is (a) integrable in the Lebesgue sense, or more generally (b) integrable in the Perron sense, over every interval (α, β) interior to (a, b), and if

exists, then f(t) is integrable in the Perron sense over (a, b) to the value (1·1).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 6 , Issue 3 , August 1940 , pp. 160 - 165
Copyright
Copyright © Edinburgh Mathematical Society 1940

References

REFERENCES

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