Hostname: page-component-77c89778f8-gq7q9 Total loading time: 0 Render date: 2024-07-17T17:21:49.725Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.