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V.—Interpolatory Methods for Theorems of Vitali and Montel Type*

Published online by Cambridge University Press:  14 February 2012

N. A. Bowen  and
A. J. Macintyre
N. A. Bowen
Affiliation:
University of Aberdeen.
A. J. Macintyre
Affiliation:
University of Aberdeen.
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Synopsis

The classical theorems of Vitali and Blaschke are shown to be simple consequences of an inequality of an interpolatory character due to J. M. Whittaker.

Theorems generalising one of Montel relating to functions bounded in a half-plane and tending to zero at a sequence of points are established by similar methods.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 64 , Issue 1 , 1953 , pp. 71 - 79
Copyright
Copyright © Royal Society of Edinburgh 1953

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References

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