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

How to Cite

Avdzhieva, A., Gushev, V., & Nikolov, G. (2017). DEFINITE QUADRATURE FORMULAE OF ORDER THREE WITH EQUIDISTANT NODES. Ann. Sofia Univ. Fac. Math. And Inf., 104, 155–170. Retrieved from https://annual.uni-sofia.bg/index.php/fmi/article/view/42

Issue

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

Section

Articles