http://hdl.handle.net/20.500.12128/13475
Tytuł: | Alienation of two general linear functional equations |
Autor: | Szostok, Tomasz |
Słowa kluczowe: | Functional equations; Alienation; Linear equations; Polynomial functions |
Data wydania: | 2020 |
Źródło: | "Aequationes Mathematicae" Vol. 94 (2020), s. 287-301 |
Abstrakt: | We study the alienation problem for two general linear equations i.e. we compare the solutions of the system of equations n i=1 αif(pix + qiy) = 0 m j=1 βjg(sjx + tjy) = 0 with the solutions of the single equation n i=1 αif(pix + qiy) = m j=1 βjg(sjx + tjy). To this end we introduce the notion of l-alienation—alienation in the class of monomial functions of order l. We use our results among others to study the alienation properties of two monomial functional equations. Mathematics Subject Classification. 39B52, 39B72. |
URI: | http://hdl.handle.net/20.500.12128/13475 |
DOI: | 10.1007/s00010-019-00667-4 |
ISSN: | 1420-8903 0001-9054 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
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Szostok_Alienation_Of_Two_General_Linear_Functional_Equations.pdf | 434,08 kB | Adobe PDF | Przejrzyj / Otwórz |
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