×

zbMATH — the first resource for mathematics

High order error constants of Gauss-Kronrod quadrature formulas. (English) Zbl 0859.41022
We prove new upper and lower bounds for high order Peano error constants of Gauss-Kronrod quadrature formulas. The bounds are of sharp order. They are useful for comparisons with Clenshaw-Curtis and related formulas. The bounds are based on new results on the error of Gauss-Kronrod quadrature of Chebyshev polynomials.

MSC:
41A55 Approximate quadratures
65D32 Numerical quadrature and cubature formulas
PDF BibTeX XML Cite
Full Text: DOI