Title | ON HERMITE INTERPOLATING L2-APPROXIMANTS |
Publication Type | Journal Article |
Year of Publication | 2007 |
Authors | BOKHARI M.A. |
Journal | Dynamic Systems and Applications |
Volume | 16 |
Start Page | 203 |
Pagination | 14 |
Date Published | 2007 |
ISSN | 1056-2176 |
AMS Subject Classification | 05E35, 41A29, 42C05, 65D05, 65F25, 93E24 |
Abstract | We consider L2 -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 |
https://acadsol.eu/dsa/articles/16/203-216-DSA-25-67_Bokhari.pdf | |
Refereed Designation | Refereed |