ON HERMITE INTERPOLATING L2-APPROXIMANTS

TitleON HERMITE INTERPOLATING L2-APPROXIMANTS
Publication TypeJournal Article
Year of Publication2007
AuthorsBOKHARI M.A.
JournalDynamic Systems and Applications
Volume16
Start Page203
Pagination14
Date Published2007
ISSN1056-2176
AMS Subject Classification05E35, 41A29, 42C05, 65D05, 65F25, 93E24
Abstract

We consider L-appoximation of a real-valued square integrable function by polynomials that satisfy certain Hermite interpolation conditions. The solution of the modified minimization problem is found by constructing an orthogonal basis of the underlying approximating subspace. A convergence problem related to the best approximants is considered in a restricted set-up. Some computational aspects based on discretization of the underlying measure are also discussed in detail

PDFhttps://acadsol.eu/dsa/articles/16/203-216-DSA-25-67_Bokhari.pdf
Refereed DesignationRefereed