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

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