An application of medial limits to iterative functional equations, II

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DC pole	Wartość	Język
dc.contributor.author	Morawiec, Janusz	-
dc.date.accessioned	2021-02-25T10:07:50Z	-
dc.date.available	2021-02-25T10:07:50Z	-
dc.date.issued	2021	-
dc.identifier.citation	"Results in Mathematics" Vol. 76, no. 1 (2021), art. no. 47, s. 1-17	pl_PL
dc.identifier.issn	1422-6383	-
dc.identifier.issn	1420-9012	-
dc.identifier.uri	http://hdl.handle.net/20.500.12128/19255	-
dc.description.abstract	Applying medial limits we describe bounded solutions ϕ: S → R of the functional equation ϕ(x) = Ω g(ω)ϕ(f(x, ω))dμ(ω) + G(x), where (Ω,A, μ) is a measure space, S ⊂ R, f : S × Ω → S, g: Ω → R is integrable and G: S → R is bounded. The main purpose of this paper is to extend results obtained in Morawiec (Results Math 75(3):102, 2020) to the above general functional equation in wider classes of functions and under weaker assumptions.	pl_PL
dc.language.iso	en	pl_PL
dc.rights	Uznanie autorstwa 3.0 Polska	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/pl/	*
dc.subject	Banach limits	pl_PL
dc.subject	medial limits	pl_PL
dc.subject	iterative functional equations	pl_PL
dc.subject	bounded solutions	pl_PL
dc.title	An application of medial limits to iterative functional equations, II	pl_PL
dc.type	info:eu-repo/semantics/article	pl_PL
dc.relation.journal	"Results in Mathematics"	pl_PL
dc.identifier.doi	10.1007/s00025-021-01354-0	-
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