Annals of Functional Analysis

Some inequalities of Jensen’s type for Lipschitzian maps between Banach spaces

Jadranka Mićić and Yuki Seo

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In this article, we consider some Jensen-type inequalities for Lipschitzian maps between Banach spaces and functions defined by power series. We obtain as applications some inequalities of Levinson type for Lipschitzian maps. Applications for functions of norms in Banach spaces are provided as well.

Article information

Ann. Funct. Anal., Volume 9, Number 3 (2018), 384-397.

Received: 3 May 2017
Accepted: 13 August 2017
First available in Project Euclid: 5 January 2018

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 47A63: Operator inequalities
Secondary: 47A99: None of the above, but in this section

Banach space power series Lipschitz-type inequalities Jensen-type inequality Levinson-type inequality


Mićić, Jadranka; Seo, Yuki. Some inequalities of Jensen’s type for Lipschitzian maps between Banach spaces. Ann. Funct. Anal. 9 (2018), no. 3, 384--397. doi:10.1215/20088752-2017-0054.

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