Stability of functional equations connected with quadrature rules

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DC pole	Wartość	Język
dc.contributor.author	Szostok, Tomasz	-
dc.date.accessioned	2020-02-26T09:12:23Z	-
dc.date.available	2020-02-26T09:12:23Z	-
dc.date.issued	2016	-
dc.identifier.citation	Aequationes mathematicae, Vol. 90, no. 1 (2016), s 163-172	pl_PL
dc.identifier.issn	0001-9054	-
dc.identifier.issn	1420-8903	-
dc.identifier.uri	http://hdl.handle.net/20.500.12128/12800	-
dc.description.abstract	We study the stability properties of the equation F(y)−F(x)=(y−x)∑i=1naif(αix+βiy) which is motivated by numerical integration. In Szostok and Wa̧sowicz (Appl Math Lett 24(4):541–544, 2011) the stability of the simplest equation of the type (0.1) was investigated thus the inequality \|F(y)−F(x)−(y−x)f(x+y)\|≤ε was studied. In the current paper we present a somewhat different approach to the problem of stability of (0.1). Namely, we deal with the inequality ∣∣∣F(y)−F(x)y−x−∑i=1naif(αix+βiy)∣∣∣≤ε.	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	stability of functional equations	pl_PL
dc.subject	functional equations stemming from numerical integration	pl_PL
dc.title	Stability of functional equations connected with quadrature rules	pl_PL
dc.type	info:eu-repo/semantics/article	pl_PL
dc.identifier.doi	10.1007/s00010-016-0415-1	-
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