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Optimal quadrature formulas of closed type in the space $L_2^{(m)}(0,1)$

Published 2 May 2010 in math.NA | (1005.0163v1)

Abstract: It is discussed the problem on construction of optimal quadrature formulas in the sense of Sard in the space $L_2{(m)}(0,1)$, when the nodes of quadrature formulas are equally spaced. Here the representations of optimal coefficients for any natural numbers $m$ and $N$ are found.

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