A new approach with new solutions to the Matkowski and Wesołowski problem

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DC pole	Wartość	Język
dc.contributor.author	Morawiec, Janusz	-
dc.contributor.author	Zürcher, Thomas	-
dc.date.accessioned	2021-03-10T11:36:28Z	-
dc.date.available	2021-03-10T11:36:28Z	-
dc.date.issued	2021	-
dc.identifier.citation	"Aequationes Mathematicae" ; Early access (2021), s. 1-16	pl_PL
dc.identifier.issn	0001-9054	-
dc.identifier.issn	1420-8903	-
dc.identifier.uri	http://hdl.handle.net/20.500.12128/19453	-
dc.description.abstract	Based on a result of de Rham, we give a family of functions solving the Matkowski and Wesołowski problem. This family consists of Holder continuous functions, and it coincides cfwith the whole family of solutions to the Matkowski and Wesołowski problem found earlier by a different method. Moreover, applying some results due to Hata and Yamaguti and due to Berg and Kruppel, we prove that there are functions solving the Matkowski and Wesołowski problem that are not H¨older continuous.	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 equations	pl_PL
dc.subject	Holder continuity	pl_PL
dc.subject	singular functions	pl_PL
dc.title	A new approach with new solutions to the Matkowski and Wesołowski problem	pl_PL
dc.type	info:eu-repo/semantics/article	pl_PL
dc.identifier.doi	10.1007/s00010-021-00788-9	-
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