• Corpus ID: 237304355

Integration with filters

  title={Integration with filters},
  author={Emanuele Bottazzi and Monroe Eskew},
We introduce a notion of integration defined from filters over families of finite sets. This procedure corresponds to determining the average value of functions whose range lies in any algebraic structure in which finite averages make sense. The average values so determined lie in a proper extension of the range of the original functions. The most relevant scenario involves algebraic structures that extend the field of rational numbers; hence, it is possible to associate to the filter integral… 


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