Abstract The computation of n -point Gaussian quadrature rules for symmetric weight functions is considered in this paper. It shown that the nodes and weights rule can be retrieved from singular value decomposition a bidiagonal matrix size /2. proposed numerical method allows to compute with high relative accuracy computational complexity $ \mathcal {O} (n^{2}). <mml:math xmlns:mml="http://www....

In this paper, the computation of numerical integration using arithmetic mean (AMDCNC), geometric mean (GMDCNC) and harmonic mean (HMDCNC) derivativebased closed Newton cotes quadrature rules are compared with the existing closed Newton cotes quadrature rule (CNC). The comparison shows that, arithmetic mean-based rule gives better solution than the other two rules. This set of quadrature rules ...