Document Zbl 1354.46018

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Integral inequalities for Lipschitzian mappings between two Banach spaces and applications. (English) Zbl 1354.46018

Kodai Math. J. 39, No. 1, 227-251 (2016).

Summary: 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.

Cited in 3 Documents

MSC:

46B20	Geometry and structure of normed linear spaces
26D15	Inequalities for sums, series and integrals
47H99	Nonlinear operators and their properties

Keywords:

inequalities; Lipschitzian mappings; Banach spaces

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