A new characterization of Cesàro-Perron integrals using Peano derivates
J. A. Bergin · Transactions of the American Mathematical Society · 1977
The Z n {Z_n} -integrals are defined according to the method of Perron using Peano derivates. The properties of the integrals are given including the essential integration by parts theorem. The integrals are then shown to be equivalent to the Cesàro-Perron integrals of Burkill.