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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Abstract

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

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

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

Permanent link to this document
https://projecteuclid.org/euclid.afa/1515121498

Digital Object Identifier
doi:10.1215/20088752-2017-0054

Mathematical Reviews number (MathSciNet)
MR3835226

Zentralblatt MATH identifier
06946363

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

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

Citation

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. https://projecteuclid.org/euclid.afa/1515121498


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References

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