Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2025-01-03T19:10:05.848Z Has data issue: false hasContentIssue false
  • English
  • Français

Extensions of Jensen's inequality on the unit circle

Published online by Cambridge University Press:  17 April 2009

Takahiko Nakazi
Takahiko Nakazi
Affiliation:
Department of Mathematics, Faculty of Science (General Education), Hokkaido University, Sapporo 060, Japan.
Rights & Permissions [Opens in a new window]

Abstract

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.

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
Information
Bulletin of the Australian Mathematical Society , Volume 33 , Issue 2 , April 1986 , pp. 189 - 194
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), 658–659.Google Scholar
[3]Rosenblum, M. and Rovnyak, J., “The factorization problem for nonnegative operator valued functions”, Bull. Amer. Math. Soc. 77 (1971), 287–318.Google Scholar