Eberlein Measure and Mechanical Quadrature Formulae . II . Numerical Results
نویسندگان
چکیده
In a previous paper it was shown how a probability measure (Eberlein measure) on the closed unit ball of the sequence space, h, can be used to find the variance a2 of the error functional for a quadrature formula for the fc-dimensional cube, regarded as a random variable. Here we give values of a for some specific formulae.
منابع مشابه
Eberlein Measure and Mechanical Quadrature Formulae. I: Basic Theory*
A uniform theory of numerical approximation of multiple integrals of arbitrary multiplicity is a long felt need of applied mathematics. In the absence of something better, the Monte Carlo method is the one most commonly used now (see [6] and [7]). For the integration of functions of one variable, for which purpose useful classical formulae exist, the error estimates are unsatisfactory inasmuch ...
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