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Some elementary inequalities in function theory

Published online by Cambridge University Press:  31 October 2008

A. J. Macintyre  and
W. W. Rogosinski
A. J. Macintyre
Affiliation:
King's College, Aberdeeen.
W. W. Rogosinski
Affiliation:
King's College, Aberdeeen.
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Let 0 < r < 1 and let f(z) be regular for |z| ≤ 1.

Then from Cauchy's integral

we have the inequality

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 35 , January 1945 , pp. 1 - 3
Copyright
Copyright © Edinburgh Mathematical Society 1945

References

1 It is sufficient in what follows f(z) is regular for |z| < 1 and if is bounded for 0 ≤ r < 1, but the simpler case adequately illustrates our arguments.