@article{ajna2014222,
author={{Boltaev, Aziz K. and Hayotov, Abdullo R. and Shadimetov, Kholmat M.},
title={About Coefficients and Order of Convergence of the Optimal Quadrature Formula},
journal={American Journal of Numerical Analysis},
volume={2},
number={2},
pages={35--48},
year={2014},
url={http://pubs.sciepub.com/ajna/2/2/2},
issn={2328-7292},
abstract={In this paper we construct an optimal quadrature formula in the sense of Sard in the Hilbert space K<SUB>2</SUB>(P<SUB>3</SUB>). Using S.L. Sobolev's method we obtain new optimal quadrature formula and give explicit expressions for the corresponding optimal coefficients. Furthermore, we investigate order of convergence of the optimal formula. The obtained optimal quadrature formula is exact for the functions e<SUP>-x</SUP>, <img src=image/abs1.png></img>.},
doi={10.12691/ajna-2-2-2}
publisher={Science and Education Publishing}
}