Science and Education Publishing American Journal of Numerical Analysis 2328-7292 2 2 2014 02 24 About Coefficients and Order of Convergence of the Optimal Quadrature Formula 35 48 EN Aziz K. Boltaev Abdullo R. Hayotov Department of Computational Methods, Institute of Mathematics, National University of Uzbekistan, Do`rmon yo`li str. Tashkent, Uzbekistan Kholmat M. Shadimetov AJNA2014222 10.12691/ajna-2-2-2 2013 12 11 2014 02 16 2014 02 24 In this paper we construct an optimal quadrature formula in the sense of Sard in the Hilbert space K2(P3). 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-x, .