We now develop a notion of integral of suitable functions with respect to arbitrary measures. This integral shall have all the usual properties of the Riemann integral, and for any bounded continuous function on any interval [a, b], it will coincide with the Riemann integral.

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Integral

  • Arup Bose

摘要

We now develop a notion of integral of suitable functions with respect to arbitrary measures. This integral shall have all the usual properties of the Riemann integral, and for any bounded continuous function on any interval [a, b], it will coincide with the Riemann integral.