A note on functional equations connected with the Cauchy mean value theorem

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DC pole	Wartość	Język
dc.contributor.author	Łukasik, Radosław	-
dc.date.accessioned	2018-10-15T07:28:45Z	-
dc.date.available	2018-10-15T07:28:45Z	-
dc.date.issued	2018	-
dc.identifier.citation	Aequationes Mathematicae, Vol. 92, no. 5 (2018), s. 935-947	pl_PL
dc.identifier.issn	0001-9054	-
dc.identifier.uri	http://hdl.handle.net/20.500.12128/6674	-
dc.description.abstract	The aim of this paper is to describe the solution (f, g) of the equation [f(x)-f(y)]g′(αx+(1-α)y)=[g(x)-g(y)]f′(αx+(1-α)y),x,y∈I,where I⊂ R is an open interval, f, g: I→ R are differentiable, α is a fixed number from (0, 1).	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	Functional equation	pl_PL
dc.subject	Linearly dependent functions	pl_PL
dc.subject	Mean value theorem	pl_PL
dc.title	A note on functional equations connected with the Cauchy mean value theorem	pl_PL
dc.type	info:eu-repo/semantics/article	pl_PL
dc.relation.journal	Aequationes Mathematicae	pl_PL
dc.identifier.doi	10.1007/s00010-018-0583-2	-
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