Polynomial selections and separation by polynomials

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dc.creatorWasowicz, Szymon
dc.date2008-07-25
dc.date.accessioned2026-07-07T09:52:53Z
dc.date.available2026-07-07T09:52:53Z
dc.descriptionNecessary and sufficient conditions under which two real functions defined on the real interval can be separated by a polynomial are given. An immediate consequence of the main result is the existence of the polynomial separation of convex functions of higher order. Another application is some Hyers-Ulam-stability-type result.
dc.identifierhttps://arxiv.org/abs/0807.4061
dc.identifierhttp://arxiv.org/abs/0807.4061
dc.identifierStudia Math. 120 (1996), 75-82
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165759
dc.subjectFunctional Analysis
dc.subjectClassical Analysis and ODEs
dc.subject26A51, 26E25, 39B72, 54C65 (Primary); 26D07, 52A35 (Secondary)
dc.titlePolynomial selections and separation by polynomials
dc.typetext

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