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Title: Orthogonally Pexider functions modulo a discrete subgroup
Authors: Wyrobek-Kochanek, Wirginia
Keywords: Additive functions; Biadditive functions; Pexider difference; Quadratic functions
Issue Date: 2012
Citation: Annales Mathematicae Silesianae, Nr 26 (2012), s. 93-100
Abstract: A result from [J. Brzdęk, Pacific J. Math. 181 (1997), no. 2, 247–267; MR1486531] provides, under some assumptions, a description of functions f:G→H such that f(x+y)−f(x)−f(y)∈K for x,y∈G with x⊥y. In the present paper, the author considers the Pexider difference f(x+y)−g(x)−h(y) instead of the Cauchy one.
ISSN: 0860-2107
Appears in Collections:Artykuły (WNŚiT)

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