A Riemann-Type Integral that Includes Lebesgue-Stieltjes, Bochner and Stochastic Integrals

· American Mathematical Soc.
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One of the difficulties with integration theory is that there are so many different detailed definitions that the non-expert is confused about their relative strengths and usefulness. A surprising recent development in the theory of integration has been the discovery that suitable modifications to the Riemann definition using approximating sums can produce a wide variety of different integrals including integrals of great power.

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