Interpolation and integration based on averaged values

Borislav Bojanov

Banach Center Publications (2006)

  • Volume: 72, Issue: 1, page 25-47
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Borislav Bojanov. "Interpolation and integration based on averaged values." Banach Center Publications 72.1 (2006): 25-47. <http://eudml.org/doc/282450>.

@article{BorislavBojanov2006,
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.},
author = {Borislav Bojanov},
journal = {Banach Center Publications},
keywords = {approximate integration},
language = {eng},
number = {1},
pages = {25-47},
title = {Interpolation and integration based on averaged values},
url = {http://eudml.org/doc/282450},
volume = {72},
year = {2006},
}

TY - JOUR
AU - Borislav Bojanov
TI - Interpolation and integration based on averaged values
JO - Banach Center Publications
PY - 2006
VL - 72
IS - 1
SP - 25
EP - 47
AB - 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.
LA - eng
KW - approximate integration
UR - http://eudml.org/doc/282450
ER -

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