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001-es BibID:	BIBFORM117569
035-os BibID:	(WoS)001126680300007 (Scopus)85179341354
Első szerző:	Glavosits Tamás (matematikus)
Cím:	Short remark to the Rimán's Theorem / Tamás Glavosits
Dátum:	2023
ISSN:	1787-5021 1787-6117
Megjegyzések:	In this paper the general solution of the functional equation f (x+ y) = g(x) + h(y) ((x, y) is an element of D) is given with unknown functions f : Dx+y -> Y, g: Dx -> Y, h: Dy -> Y where D subset of G2 is a nonempty, open set, (G, <=) is an ordered, dense, Abelian group, the topology on G is generated by the open intervals of G, the sets Dx, Dy, Dx+y are defined by Dx := {u is an element of G \| there exists v is an element of G : (u, v) is an element of D}, Dy := {v is an element of G \| there exists u is an element of G : (u, v) is an element of D}, Dx+y:= {z is an element of G \| there exists(u, v) is an element of D : z = u + v}, and Y (+) is an Abelian group. The main result of the article is a common generalization of similar results by L. Szekelyhidi and J. Riman. Analogous theorem concerning logarithmic functions is also shown.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény hazai lapban folyóiratcikk additive functional equations logarithmic functional equations Pexider generalizations restricted functional equations Archimedean ordered Abelian groups dense ordered groups general solution of functional equations
Megjelenés:	Annales Mathematicae et Informaticae. - 59 (2023), p. 13-26. -
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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