An Inequality for Hölder Continuous Functions Generalizing a Result of Carlo Miranda

Massimo Lanza de Cristoforis ()
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Massimo Lanza de Cristoforis: Università degli Studi di Padova, Dipartimento di Matematica ‘Tullio Levi-Civita’

Chapter Chapter 10 in Computational and Analytic Methods in Science and Engineering, 2020, pp 197-221 from Springer

Abstract: Abstract We prove an inequality for the Hölder continuity of a continuously differentiable function in a bounded open Lipschitz set, which generalizes an inequality of Carlo Miranda in a bounded open strict hypograph of a function of class C 1, α for some α ∈ ]0, 1] and which enables to simplify a proof of a result of Carlo Miranda for layer potentials with moment in a Schauder space.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-48186-5_10

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DOI: 10.1007/978-3-030-48186-5_10

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