Optimal Quadrature Formulas with Positive Coefficients in $L_2^{(m)}(0,1)$ Space. (arXiv:0911.2896v1 [math.NA])

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.

Published by

Original source : http://arxiv.org/abs/0911.2896...