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Extensions of Jensen's inequality on the unit circle

Published online by Cambridge University Press:  17 April 2009

Takahiko Nakazi
Affiliation:
Department of Mathematics, Faculty of Science (General Education), Hokkaido University, Sapporo 060, Japan.
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Abstract

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The purpose of this note is to give extensions of an inequality of Jensen for analytic functions in an unit disc. We investigate functions which satisfy equalities in the inequalities.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1986

References

[1]Hoffman, K., Banach Spaces of Analytic Functions, (Prentice-Hall, Englewood Cliffs, N.J., 1962).Google Scholar
[2]Nakazi, T. and Takahashi, K., “Prediction n units of time ahead”, Proc. Amer. Math. Soc. 80 (1980), 658659.Google Scholar
[3]Rosenblum, M. and Rovnyak, J., “The factorization problem for nonnegative operator valued functions”, Bull. Amer. Math. Soc. 77 (1971), 287318.Google Scholar