Optimal Quadrature Formulas in the Sense of Sard in $W_2^{(m,m-1)}$ Space (1010.5172v1)

Published 25 Oct 2010 in math.NA

Abstract: In this paper in $W_2^{{(m,m-1)}(0,1)$} space the problem of construction of optimal quadrature formula in the sense of Sard is considered and using S.L. Sobolev's method it is obtained new optimal quadrature formula of such type. For the optimal coefficients explicit formulas are obtained. Furthermore, the numerical results which confirm the theoretical results of this work is given.

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