DEFINITE QUADRATURE FORMULAE OF ORDER THREE WITH EQUIDISTANT NODES

Authors

  • Ana Avdzhieva
  • Vesselin Gushev
  • Geno Nikolov

Keywords:

a posteriori error estimates, Definite quadrature formulae, Euler-MacLaurin summation formulae, Peano kernels

Abstract

A sequence of definite quadrature formulae of order three with equidistant nodes is constructed. The error constants of these quadratures are evaluated and simple a posteriori error estimates derived under the assumption that the integrand’s third derivative does not change its sign in the integration interval.

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Published

2017-12-12

Issue

Vol. 104 (2017): Ann. Sofia Univ. Fac. Math and Inf.

Section

Articles

How to Cite

DEFINITE QUADRATURE FORMULAE OF ORDER THREE WITH EQUIDISTANT NODES. (2017). Annual of Sofia University St. Kliment Ohridski. Faculty of Mathematics and Informatics, 104, 155-170. https://annual.uni-sofia.bg/index.php/fmi/article/view/42