Inequality for power series with nonnegative coefficients and applications

We establish in this paper some Jensen’s type inequalities for functions defined by power series with nonnegative coefficients. Applications for functions of selfadjoint operators on complex Hilbert spaces are provided as well.

Bibliographic Details
Main Author: Dragomir Silvestru Sever
Format: Article
Language:English
Published: De Gruyter 2015-10-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2015.13.issue-1/math-2015-0061/math-2015-0061.xml?format=INT
Description
Summary:We establish in this paper some Jensen’s type inequalities for functions defined by power series with nonnegative coefficients. Applications for functions of selfadjoint operators on complex Hilbert spaces are provided as well.
ISSN:2391-5455