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.
"Some inequalities of Jensen’s type for Lipschitzian maps between Banach spaces." Ann. Funct. Anal. 9 (3) 384 - 397, August 2018. https://doi.org/10.1215/20088752-2017-0054