The method of mechanical quadratures for integral equations with fixed singularity

dc.contributor.author	Onegov L.
dc.date.accessioned	2018-09-19T20:54:58Z
dc.date.available	2018-09-19T20:54:58Z
dc.date.issued	2016
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/143420
dc.description.abstract	© 2016, Allerton Press, Inc.We investigate the method of mechanical quadratures for integral equations with fixed singularity. We establish estimates of the error of this method based on a quadrature process, which is the best in the class of differentiable functions. We prove the convergence of the method in finite-dimensional and uniform metrics. We find that the investigated quadrature method is optimal by order on the Hölder class of functions.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	accuracy
dc.subject	convergence
dc.subject	integral equation
dc.subject	optimality
dc.subject	quadrature process
dc.subject	solution
dc.title	The method of mechanical quadratures for integral equations with fixed singularity
dc.type	Article
dc.relation.ispartofseries-issue	7
dc.relation.ispartofseries-volume	60
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	71
dc.source.id	SCOPUS1066369X-2016-60-7-SID84975804511

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.