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Integral Means of Functions with Positive Real Part

Published online by Cambridge University Press:  20 November 2018

F. Holland  and
J. B. Twomev
F. Holland
Affiliation:
University College, Cork, Ireland
J. B. Twomev
Affiliation:
University College, Cork, Ireland
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We denote by the class of functions of the form

that are regular in Δ = {z:|;z| < 1} and satisfy Re h(z) > 0 there. For 0 ≦ r < 1, we write

We note that, for , the inequality

is classical.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 32 , Issue 4 , April 1980 , pp. 1008 - 1020
Copyright
Copyright © Canadian Mathematical Society 1980

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