An inequality for real positive functions
Published online by Cambridge University Press: 24 October 2008
Extract
In the theory of functions of a complex variable a positive quantity g(r), denned in terms of a circle |z| = r, can often be estimated by means of another similar quantity f(R) denned in terms of a circle |z| = R with R > r. Inequalities of the form
arise in this connexion. Putting R = r + h we have for every h > 0
.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 1 , January 1952 , pp. 93 - 105
- Copyright
- Copyright © Cambridge Philosophical Society 1952
References
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