Higher order Riemann complete integrals (Q1086371)

In this very interesting paper the author defines a higher order generalized Riemann integral. His object is to obtain an integral that is the natural one for certain generalized derivatives of higher order. In particular integrals are defined that integrate \(n\)th order Peano derivatives, Cesàro derivatives of order \(n\), as well as their related symmetric derivatives. The relations between these Riemann definitions and earlier Perron integrals remain to be investigated.