Interpolation and integration based on averaged values

• Autorzy: Borislav Bojanov
• Języki publikacji: EN

Abstrakty

EN

We discuss recent results on constructing approximating schemes based on averaged values of the approximated function f over linear segments. In particular, we describe interpolation and integration formulae of high algebraic degree of precision that use weighted integrals of f over non-overlapping subintervals of the real line. The quadrature formula of this type of highest algebraic degree of precision is characterized.

Kategorie tematyczne

• 65D32: Quadrature and cubature formulas
• 41A05: Interpolation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 72
• Numer: 1
• Strony: 25-47

Daty

wydano

2006

Twórcy

autor

Borislav Bojanov

• Department of Mathematics, University of Sofia, Blvd. James Bourchier 5, 1164 Sofia, Bulgaria

Identyfikatory

DOI

10.4064/bc72-0-2