If a quadrature formula
is used, Equation (26) becomes
Namely, the domain was divided into sufficiently small intervals where the 64-point Gauss-Legendre quadrature formula
is appropriate for the purpose.
By using the q-binomial theorem, we have recently obtained explicit expressions of the coefficients [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] in the quadrature formula
Then we have the quadrature formula
of the two-points open Newton-Cotes type
m] admits an n-point (ordinary) Gaussian quadrature formula
An RMS rule is a symmetric interpolatory quadrature formula
on [-1,1], hereafter denoted by the set of its nonnegative nodes.
Turin  proposed an interpolatory quadrature formula
of the type
Moreover, it was proved that the Lebesgue constant of such angles is O (log n) and that the associated interpolatory trigonometric quadrature formula
has positive weights.
m], it is an easy matter to derive a quadrature formula
based on interpolation to value and slope at [x.
Consider a general (n + 1)-point weighted quadrature formula
of the form
Let n,p, s [member of] N such that s < p + 1, and consider the spherical quadrature formula
k=1] be the nodes and the weights of an m-point Gaussian quadrature formula