On estimate for the modulus of continuity of the Cauchy-type integral having a Lipschitz-continuous density

dc.contributor.author	Drobek, Jaroslav
dc.date.accessioned	2013-03-15T13:41:18Z
dc.date.available	2013-03-15T13:41:18Z
dc.date.issued	2013
dc.description.abstract	The Cauchy-type integral having a Lipschitz-continuous density is under investigation. It is considered in a Jordan region that has a piecewise regular boundary without cusps and therefore it can be continuously extended over the closure of the region. Then the boundary values form a function, whose modulus of continuity is to be estimated. One parameter-dependent estimate is obtained and one algorithm for its evaluating is developed. The algorithm is demonstrated on some examples.	cs
dc.description.source	Web of Science	cs
dc.identifier.citation	Mathematica Slovaca. 2013, vol. 63, issue 1, p. 83-110.	cs
dc.identifier.doi	10.2478/s12175-012-0085-y
dc.identifier.issn	0139-9918
dc.identifier.issn	1337-2211
dc.identifier.location	Není ve fondu ÚK	cs
dc.identifier.uri	http://hdl.handle.net/10084/96222
dc.identifier.wos	000314185100010
dc.language.iso	en	cs
dc.publisher	Springer	cs
dc.relation.ispartofseries	Mathematica Slovaca	cs
dc.relation.uri	http://dx.doi.org/10.2478/s12175-012-0085-y	cs
dc.subject	primary 30E10, 30E20	cs
dc.subject	Cauchy-type integral	cs
dc.subject	Lipschitz-continuous density	cs
dc.subject	modulus of continuity	cs
dc.subject	Privalov theorem	cs
dc.title	On estimate for the modulus of continuity of the Cauchy-type integral having a Lipschitz-continuous density	cs
dc.type	article	cs
dc.type.status	Peer-reviewed	cs

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