engleski

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

In this paper some inequalities of Jensen's type for Lipschitzian maps between Banach spaces and functions defined by power series are considered. As applications we obtained some inequalities of Levinson's type for Lipschitzian maps. Applications for functions of norms in Banach spaces are provided as well.

Banach space ; Power series ; Lipschitz type inequalities ; Jensen's inequality ; Levinson's inequality

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