Optimal quadrature formulas with positive coefficients in space

Authors :: Shadimetov, Kh.M.
Hayotov, A.R.
Source :: Journal of Computational & Applied Mathematics. Jan2011, Vol. 235 Issue 5, p1114-1128. 15p.
Publication Year :: 2011
Abstract: Abstract: In the Sobolev space optimal quadrature formulas of the form with the nodes are investigated. For optimal coefficients explicit forms are obtained and the norm of the error functional is calculated for any natural numbers and . In particular, in the case and for optimal quadrature formulas with positive coefficients are numerically obtained and some of them are compared with well-known optimal formulas. [ABSTRACT FROM AUTHOR]