  In the Sobolev space $L_2^{(m)}(0,1)$ optimal quadrature formulas with the
nodes (1.5) are investigated. For optimal coefficients explicit form are
obtained and norm of the error functional is calculated. In particular, by
choosing parameter $\eta_0$ in (1.5) the optimal quadrature formulas with
positive coefficients are obtained and compared with well known optimal
formulas.
