| Title | ASYMPTOTICALLY OPTIMAL QUADRATURE FORMULAE IN CERTAIN SOBOLEV CLASSES |
| Publication Type | Journal Article |
| Year of Publication | 2015 |
| Authors | Avdzhieva A, Nikolov G |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 102 |
| Pagination | 145-169 |
| ISSN | 0205-0808 |
| Keywords | asymptotically optimal quadrature formulae, Euler-MacLaurin summation formulae, Peano kernels, Quadrature formulae, Sobolev classes of functions, spline functions |
| Abstract | We construct sequences of asymptotically optimal quadrature formulae in the Sobolev classes $W^3_p ( 1 \leq p \leq \infty)$ , and $W^4_1$. Sharp error bounds for these quadrature formulae are given. |
| 2000 MSC | 41A55, 65D30, 65D32 |
| Attachment | Size |
|---|---|
 102-145-169.pdf | 459 KB |