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

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

2010-10-25

arxiv.org/abs/1010.5172v1

Mathematics

Numerical Analysis

The paper submitted to the journal of Computational Mathematics and Applied Mathematics

Scientific paper

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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