ASYMPTOTICALLY OPTIMAL QUADRATURE FORMULAE IN CERTAIN SOBOLEV CLASSES

TitleASYMPTOTICALLY OPTIMAL QUADRATURE FORMULAE IN CERTAIN SOBOLEV CLASSES
Publication TypeJournal Article
Year of Publication2015
AuthorsAvdzhieva A, Nikolov G
JournalAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Volume102
Pagination145-169
ISSN0205-0808
Keywordsasymptotically 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

AttachmentSize
PDF icon 102-145-169.pdf459 KB