http://hdl.handle.net/20.500.12128/19255
Title: | An application of medial limits to iterative functional equations, II |
Authors: | Morawiec, Janusz |
Keywords: | Banach limits; medial limits; iterative functional equations; bounded solutions |
Issue Date: | 2021 |
Citation: | "Results in Mathematics" Vol. 76, no. 1 (2021), art. no. 47, s. 1-17 |
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. |
URI: | http://hdl.handle.net/20.500.12128/19255 |
DOI: | 10.1007/s00025-021-01354-0 |
ISSN: | 1422-6383 1420-9012 |
Appears in Collections: | Artykuły (WNŚiT) |
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Morawiec_An_application_of_medial_limits_to_iterative_functional_equations_II.pdf | 576,47 kB | Adobe PDF | View/Open |
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