%0 Journal Article %T Optimal quadrature formulas of closed type in the space $L_2^{(m)}(0,1)$ %A Kh. M. Shadimetov %J Mathematics %D 2010 %I arXiv %X 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. %U http://arxiv.org/abs/1005.0163v1