SOME COMMENTS ON THE MCSHANE AND HENSTOCK INTEGRALS
Gordon · Real Analysis Exchange · 1997
The basic distinction between the Henstock and McShane integrals involves the location of the tags.Another way to look at this difference is through the type of set associated with each tag; intervals for the Henstock integral and finite unions of intervals for the McShane integral.Does this distinction make any difference in the definition of the Riemann integral?What happens if the intervals are replaced with arbitrary measurable sets?These questions are answered in this paper.A relationship between the Henstock integral and outer Lebesgue measure is also included.