Lp error estimates for projection approximations

Autor:	Andrei Amosov, Alain Largillier, Olivier Titaud, Mario Ahues
Rok vydání:	2005
Předmět:	Mean squared error Applied Mathematics Mathematical analysis 010103 numerical & computational mathematics Projection approximation Fredholm integral equation Grid 01 natural sciences Integral equation 010101 applied mathematics symbols.namesake Approximation error symbols 0101 mathematics Lp space Projection (set theory) Mathematics
Zdroj:	Applied Mathematics Letters. 18:381-386
ISSN:	0893-9659
DOI:	10.1016/j.aml.2004.03.009
Popis:	We provide an error estimate for the local mean projection approximation in Lp([0,τ∗]) for p∈[1,+∞[, in terms of the regularity of the underlying grid, and we apply it to the corresponding projection approximation of weakly singular Fredholm integral equations of the second kind.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7f1d93507c25417b1c7c7bbbe4500307 https://doi.org/10.1016/j.aml.2004.03.009 Zobrazit plný text záznamu Full Text from ScienceDirect