An Application of Medial Limits to Iterative Functional Equations

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DC pole	Wartość	Język
dc.contributor.author	Morawiec, Janusz	-
dc.date.accessioned	2020-06-22T06:16:21Z	-
dc.date.available	2020-06-22T06:16:21Z	-
dc.date.issued	2020	-
dc.identifier.citation	Results in Mathematics, Vol. 75 (2020), Art. No. 102	pl_PL
dc.identifier.issn	1422-6383	-
dc.identifier.issn	1420-9012	-
dc.identifier.uri	http://hdl.handle.net/20.500.12128/14653	-
dc.description.abstract	Assume that (Ω,A, P) is a probability space, f : [0, 1] × Ω → [0, 1] is a function such that f(0, ω) = 0, f(1, ω) = 1 for every ω ∈ Ω, g: [0, 1] → R is a bounded function such that g(0) = g(1) = 0, and a, b ∈ R. Applying medial limits we describe bounded solutions ϕ: [0, 1] → R of the equation ϕ(x) = Ω ϕ(f(x, ω))dP(ω) + g(x) satisfying the boundary conditions ϕ(0) = a and ϕ(1) = b.	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	pl_PL
dc.type	info:eu-repo/semantics/article	pl_PL
dc.identifier.doi	10.1007/s00025-020-01229-w	-
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