Definite quadrature formulae of 5-th order with equidistant nodes

Ana Avdzhieva; Geno Nikolov

doi:10.60063/gsu.fmi.106.101-115

Definite quadrature formulae of 5-th order with equidistant nodes

Authors

Ana Avdzhieva https://orcid.org/0000-0003-4973-3056
Geno Nikolov https://orcid.org/0000-0001-5608-2488

DOI:

https://doi.org/10.60063/gsu.fmi.106.101-115

Keywords:

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

Abstract

We construct sequences of definite quadrature formulae of order five which use equidistant nodes. The error constants of these quadratures are evaluated and simple a posteriori error estimates derived under the assumption that the integrand's fifth derivative does not change its sign in the integration interval.

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Published

2019-12-12

How to Cite

Avdzhieva, A., & Nikolov, G. (2019). Definite quadrature formulae of 5-th order with equidistant nodes. Ann. Sofia Univ. Fac. Math. And Inf., 106, 101–115. https://doi.org/10.60063/gsu.fmi.106.101-115