Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Integral inequalities for Lipschitzian mappings between two Banach spaces and applications
Sever S. Dragomir
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Keywords: Banach spaces, Banach algebras, Power series, Lipschitz type inequalities, Ostrowski-type inequalities, Mid-point inequalities, Hermite-Hadamard type inequalities
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2016 Volume 39 Issue 1 Pages 227-251

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Abstract
In this paper we obtain some inequalities of Ostrowski and Hermite-Hadamard type for Lipschitzian mappings between two Banach spaces. Applications for functions of norms in Banach spaces and functions defined by power series in Banach algebras are provided as well.
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© 2016 Department of Mathematics, Tokyo Institute of Technology
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