Abstract
Optimal quadrature rules are extensively studied, but they “remain, after almost three decades of investigation, a plaything of the theoretician” (DAVIS / RABINOWITZ [2] p. 331). One main objection to the practicality of optimal rules is that they are tailored for one special class of functions. But mostly we are interested in rules, which work well for many classes of functions. It is the aim of this paper to make this idea more precise by the definition and discussion of “universal (quadrature) rules”.
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