Publishing house / Banach Center Publications / All volumes

Interpolation and integration based on averaged values

Volume 72 / 2006

Banach Center Publications 72 (2006), 25-47 MSC: 41A05, 65D32. DOI: 10.4064/bc72-0-2

Abstract

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.

Authors

• Borislav BojanovDepartment of Mathematics
University of Sofia
Blvd. James Bourchier 5
1164 Sofia, Bulgaria
e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.