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Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12128/12039
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dc.contributor.authorGer, Roman-
dc.date.accessioned2020-01-16T19:46:05Z-
dc.date.available2020-01-16T19:46:05Z-
dc.date.issued2019-
dc.identifier.citation"Tatra Mountains Mathematical Publications" Vol. 74, iss. 1 (2019), s. 57-62pl_PL
dc.identifier.issn1338-9750-
dc.identifier.urihttp://hdl.handle.net/20.500.12128/12039-
dc.description.abstractWithout the use of pexiderized versions of abstract polynomials theory, we show that on 2-divisible groups the functional equation f(x + y) + g(x + y) + g(x − y) = f(x) + f(y)+ 2g(x) + 2g(y) forces the unknown functions f and g to be additive and quadratic, respectively, modulo a constant. Motivated by the observation that the equation f(x + y) + f(x2) = f(x) + f(y)+ f(x)2 implies both the additivity and multiplicativity of f, we deal also with the alienation phenomenon of equations in a single and several variables.pl_PL
dc.language.isoenpl_PL
dc.rightsUznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/pl/*
dc.subjectmathematicspl_PL
dc.subjectmathematical proofpl_PL
dc.titleA short proof of alienation of additivity from quadraticitypl_PL
dc.typeinfo:eu-repo/semantics/articlepl_PL
dc.identifier.doi10.2478/tmmp-2019-0019-
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